Quantum Algebra

Authors and titles for math.QA in Feb 2024

[1]  arXiv:2402.00403 [pdf, ps, other]

Title: Classification of connected étale algebras in multiplicity-free modular fusion categories at rank six

Authors: Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang

Comments: 26 pages + references. arXiv admin note: text overlap with arXiv:2312.13353

Subjects: Quantum Algebra (math.QA); Strongly Correlated Electrons (cond-mat.str-el); Category Theory (math.CT)

[2]  arXiv:2402.00554 [pdf, other]

Title: Polydifferential Lie bialgebras and graph complexes

Authors: Vincent Wolff

Comments: 11 pages

Subjects: Quantum Algebra (math.QA)

[3]  arXiv:2402.00706 [pdf, ps, other]

Title: Examples of solvable and nilpotent finite quantum groups

Authors: Gerard Glowacki, Masamune Hattori, Masato Tanaka

Comments: 47 pages

Subjects: Quantum Algebra (math.QA)

[4]  arXiv:2402.01870 [pdf, ps, other]

Title: Notes on a homomorphism from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the affine Yangian associated with $\widehat{\mathfrak{sl}}(n+1)$

Authors: Mamoru Ueda

Comments: I have changed the introduction largely and added Section 5

Subjects: Quantum Algebra (math.QA); Rings and Algebras (math.RA); Representation Theory (math.RT)

[5]  arXiv:2402.02278 [pdf, ps, other]

Title: Borel and parabolic-type subalgebras of the lattice vertex operator algebra

Authors: Jianqi Liu

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[6]  arXiv:2402.02517 [pdf, other]

Title: Bridging Relations between SVD in Tensor Networks and Common Matrix Operations in Quantum Information Theory

Authors: John.TM.Campbell

Comments: 8 pages, 1 figure, 1 table

Subjects: Quantum Algebra (math.QA)

[7]  arXiv:2402.02929 [pdf, ps, other]

Title: Quasi-Frobenius algebras in finite tensor categories

Authors: Kenichi Shimizu (Shibaura Institute of Technology)

Comments: 37 pages

Subjects: Quantum Algebra (math.QA); Category Theory (math.CT); Rings and Algebras (math.RA)

[8]  arXiv:2402.03066 [pdf, other]

Title: Generalized knots-quivers correspondence

Authors: Marko Stošić

Comments: 24 pages

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th)

[9]  arXiv:2402.03185 [pdf, ps, other]

Title: Stateless Quantum Structures and Extremal Graph Theory

Authors: Vaclav Voracek

Comments: reports on mathematical physics, 2020

Journal-ref: Reports on Mathematical Physics, vol 86, issue 2, 8/2020 p. 175-185

Subjects: Quantum Algebra (math.QA)

[10]  arXiv:2402.03278 [pdf, ps, other]

Title: Wild orbits and generalised singularity modules: stratifications and quantisation

Authors: Damien Calaque, Giovanni Felder, Gabriele Rembado, Richard Wentworth

Comments: 112 pages, 3 figures. v2: added references and simplified bits of the exposition. Comments welcome!

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Rings and Algebras (math.RA); Representation Theory (math.RT)

[11]  arXiv:2402.03637 [pdf, other]

Title: Towards the quantum exceptional series

Authors: Scott Morrison, Noah Snyder, Dylan P. Thurston

Comments: 94 pages

Subjects: Quantum Algebra (math.QA); Category Theory (math.CT); Geometric Topology (math.GT); Representation Theory (math.RT)

[12]  arXiv:2402.03668 [pdf, ps, other]

Title: BGG Reciprocity for Generalized Weight Modules of Unrolled Restricted Quantum Groups at Roots of Unity

Authors: Matthew Rupert

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[13]  arXiv:2402.05539 [pdf, other]

Title: Associators from an operadic point of view

Authors: Damien Calaque, Victor Roca i Lucio

Comments: 78 pages. Minor improvements due to referee comments

Subjects: Quantum Algebra (math.QA); Algebraic Topology (math.AT)

[14]  arXiv:2402.06007 [pdf, ps, other]

Title: Shuffle approach to wreath Pieri operators

Authors: Joshua Jeishing Wen

Comments: 23 pages. To appear in Contemporary Mathematics. Comments welcome!

Subjects: Quantum Algebra (math.QA); Combinatorics (math.CO); Representation Theory (math.RT)

[15]  arXiv:2402.06356 [pdf, ps, other]

Title: On the geometry of quantum spheres and hyperboloids

Authors: Giovanni Landi, Chiara Pagani

Comments: 27 pages, no figures

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph)

[16]  arXiv:2402.08140 [pdf, ps, other]

Title: Quantum cluster algebra, braid moves and quantum virtual Grothendieck ring

Authors: Kyu-Hwan Lee, Se-jin Oh

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)

[17]  arXiv:2402.09106 [pdf, other]

Title: Generalized Double Affine Hecke Algebra for Double Torus

Authors: Kazuhiro Hikami

Comments: 13 pages, 4 figures

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Geometric Topology (math.GT)

[18]  arXiv:2402.11368 [pdf, ps, other]

Title: Spectral 2-actions, foams, and frames in the spectrification of Khovanov arc algebras

Authors: Anne Dranowski, Meng Guo, Aaron Lauda, Andrew Manion

Comments: 36 pages; 14 figures

Subjects: Quantum Algebra (math.QA); Algebraic Topology (math.AT); Geometric Topology (math.GT); Representation Theory (math.RT)

[19]  arXiv:2402.12012 [pdf, ps, other]

Title: Combinatorial correlation functions in three-dimensional eight-vertex models

Authors: Igor G. Korepanov

Comments: 27 pages, 4 tikz figures

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph)

[20]  arXiv:2402.12344 [pdf, other]

Title: Quantum Sabidussi's Theorem

Authors: Arnbjörg Soffía Árnadóttir, Josse van Dobben de Bruyn, Prem Nigam Kar, David E. Roberson, Peter Zeman

Comments: 21 pages, 2 figures. Minor changes, mostly improvements to the exposition

Subjects: Quantum Algebra (math.QA); Combinatorics (math.CO); Operator Algebras (math.OA)

[21]  arXiv:2402.12793 [pdf, ps, other]

Title: Harish-Chandra Theorem for Two-parameter Quantum Groups

Authors: Naihong Hu, Hengyi Wang

Comments: 25 pages. In this version we add the Harish-Chandra theorem in the case of odd rank, and we figure out a new invertible extra central generator $z_*$ which leads to a larger centre

Subjects: Quantum Algebra (math.QA)

[22]  arXiv:2402.13141 [pdf, ps, other]

Title: Some new isoclasses of one-parameter exotic small quantum groups arising from the two-parameter setting

Authors: Naihong Hu, Xiao Xu

Subjects: Quantum Algebra (math.QA)

[23]  arXiv:2402.13621 [pdf, ps, other]

Title: Completely fixed point free isometry and cyclic orbifold of lattice vertex operator algebras

Authors: Hsian-Yang Chen, Ching Hung Lam

Comments: arXiv admin note: text overlap with arXiv:2103.07035

Subjects: Quantum Algebra (math.QA)

[24]  arXiv:2402.14722 [pdf, ps, other]

Title: A method for describing the maximal ideal in universal affine vertex algebras at non-admissible levels

Authors: Drazen Adamovic, Ozren Perse, Ivana Vukorepa

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Representation Theory (math.RT)

[25]  arXiv:2402.15717 [pdf, ps, other]

Title: New combinatorial formulae for nested Bethe vectors II

Authors: M.Kosmakov, V.Tarasov

Comments: LaTeX, 16 pages

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Representation Theory (math.RT)

[26]  arXiv:2402.16155 [pdf, ps, other]

Title: Deformation families of Novikov bialgebras via differential antisymmetric infinitesimal bialgebras

Authors: Yanyong Hong, Chengming Bai, Li Guo

Comments: 30 pages

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Representation Theory (math.RT)

[27]  arXiv:2402.16852 [pdf, ps, other]

Title: Characterization of principal bundles: the noncommutative algebraic case

Authors: William J. Ugalde

Comments: 54 pages

Subjects: Quantum Algebra (math.QA)

[28]  arXiv:2402.18210 [pdf, ps, other]

Title: Pull-back and push-forward functors for holonomic modules over Cherednik algebras

Authors: Gwyn Bellamy, Pavel Etingof, Daniel Thompson

Comments: 61 pages; comments very welcome

Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[29]  arXiv:2402.18501 [pdf, ps, other]

Title: Yangian of the periplectic Lie superalgebra

Authors: Maxim Nazarov

Comments: Section 26 added

Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT); Exactly Solvable and Integrable Systems (nlin.SI)

[30]  arXiv:2402.19138 [pdf, other]

Title: Generalized Pentagon Equations

Authors: Anton Alekseev, Florian Naef, Muze Ren

Comments: 19 pages, 3 figures

Subjects: Quantum Algebra (math.QA)

[31]  arXiv:2402.00476 (cross-list from math.RA) [pdf, ps, other]

Title: Reflections on coproducts for non-unital algebras

Authors: Alfons Van Daele

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[32]  arXiv:2402.00487 (cross-list from math.RT) [pdf, ps, other]

Title: A note on the quantum Berezinian for the double Yangian of the Lie superalgebra $\mathfrak{gl}_{m|n}$

Authors: Lucia Bagnoli, Slaven Kožić

Comments: 12 pages, minor changes and corrections

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[33]  arXiv:2402.01081 (cross-list from math.GT) [pdf, other]

Title: Kirby belts, categorified projectors, and the skein lasagna module of $S^{2}\times{S^{2}}$

Authors: Ian A. Sullivan, Melissa Zhang

Comments: 33 pages, 20 figures

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[34]  arXiv:2402.01500 (cross-list from math.CO) [pdf, ps, other]

Title: Operads of decorated cliques II: Noncrossing cliques

Authors: Samuele Giraudo

Comments: 38 pages

Journal-ref: S\'eminaire Lotharingien de Combinatoire, B79h, 2023

Subjects: Combinatorics (math.CO); Quantum Algebra (math.QA)

[35]  arXiv:2402.03322 (cross-list from math.RT) [pdf, ps, other]

Title: $\imath$Hall algebras of weighted projective lines and quantum symmetric pairs II: injectivity

Authors: Ming Lu, Shiquan Ruan

Comments: 29 pages. This is the second part of the lengthy paper arXiv:2110.02575v1 which was split into two papers

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[36]  arXiv:2402.03739 (cross-list from math.RT) [pdf, ps, other]

Title: Tame quivers and affine bases II: nonsimply-laced cases

Authors: Jie Xiao, Han Xu

Comments: 33 pages

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[37]  arXiv:2402.03793 (cross-list from math.RT) [pdf, ps, other]

Title: Quantum Heisenberg Enveloping Algebra

Authors: Sanu Bera, Sugata Mandal, Soumendu Nandy

Comments: 22 pages. All comments are welcome

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[38]  arXiv:2402.05103 (cross-list from math.GT) [pdf, other]

Title: Hennings TQFTs for Cobordisms Decorated With Cohomology Classes

Authors: Marco De Renzi, Jules Martel, Bangxin Wang

Comments: 31 pages

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[39]  arXiv:2402.05442 (cross-list from math-ph) [pdf, ps, other]

Title: Triangular solutions to the reflection equation for $U_q(\widehat{sl_n})$

Authors: Dmitry Kolyaskin, Vladimir V Mangazeev

Comments: 25 pages

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Quantum Algebra (math.QA)

[40]  arXiv:2402.06405 (cross-list from math.RT) [pdf, ps, other]

Title: Hyperoctahedral Schur Category and Hyperoctahedral Web Category

Authors: Razzi Masroor

Comments: 28 pages, many figures, comments welcome

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[41]  arXiv:2402.06890 (cross-list from math.RT) [pdf, ps, other]

Title: BGG Resolutions, Koszulity, and Stratifications, Part I: the nilBrauer Algebra

Authors: Fan Zhou

Comments: Submitted on the precipice of the new lunar year

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[42]  arXiv:2402.08162 (cross-list from math.RT) [pdf, ps, other]

Title: Quiver Heisenberg algebras: a cubic analogue of preprojective algebras

Authors: Martin Herschend, Hiroyuki Minamoto

Comments: v2. Minor corrections, 128 pages. Comments are welcome

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[43]  arXiv:2402.08258 (cross-list from math.RT) [pdf, ps, other]

Title: Coordinate rings on symmetric spaces

Authors: Huanchen Bao, Jinfeng Song

Comments: 14 pages

Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[44]  arXiv:2402.08665 (cross-list from math.OA) [pdf, ps, other]

Title: Crystallization of C*-algebras

Authors: Marcelo Laca, Sergey Neshveyev, Makoto Yamashita

Comments: 29 pages: v3: minor fixes, references added; v2: minor fixes

Subjects: Operator Algebras (math.OA); Mathematical Physics (math-ph); K-Theory and Homology (math.KT); Quantum Algebra (math.QA)

[45]  arXiv:2402.08944 (cross-list from math-ph) [pdf, ps, other]

Title: The Racah algebra of rank 2: Properties, symmetries and representation

Authors: Sarah Post, Sébastien Bertrand

Subjects: Mathematical Physics (math-ph); Quantum Algebra (math.QA); Representation Theory (math.RT); Classical Physics (physics.class-ph)

[46]  arXiv:2402.09347 (cross-list from math.OA) [pdf, ps, other]

Title: Irreducible representations of the crystallisation of the $C^{*}$-algebra $C(SU_{q}(n+1))$

Authors: Manabendra Giri, Arup Kumar Pal

Comments: v1: 42 pages, 6 diagrams v2: 45 pages, 6 diagrams (first section expanded; some references added)

Subjects: Operator Algebras (math.OA); Quantum Algebra (math.QA)

[47]  arXiv:2402.09887 (cross-list from math.CO) [pdf, ps, other]

Title: Jones--Wenzl projections and Dyck tilings: type $A$ and $B$

Authors: Keiichi Shigechi

Comments: 12 pages

Subjects: Combinatorics (math.CO); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[48]  arXiv:2402.10094 (cross-list from math.CT) [pdf, ps, other]

Title: Projection formulas and induced functors on centers of monoidal categories

Authors: Johannes Flake, Robert Laugwitz, Sebastian Posur

Comments: 97 pages

Subjects: Category Theory (math.CT); Quantum Algebra (math.QA); Representation Theory (math.RT)

[49]  arXiv:2402.10452 (cross-list from math.GT) [pdf, other]

Title: Khovanov homology and exotic $4$-manifolds

Authors: Qiuyu Ren, Michael Willis

Comments: 53 pages, 2 figures; updated with corrections and new applications

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[50]  arXiv:2402.11407 (cross-list from math.RT) [pdf, ps, other]

Title: Hecke algebras and edge contractions

Authors: Yiqiang Li

Comments: 16 pages. Comments welcome

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[51]  arXiv:2402.12768 (cross-list from math.RT) [pdf, ps, other]

Title: Categorification of quiver diagonalization and Koszul algebras

Authors: Vladimir Dotsenko, Evgeny Feigin, Piotr Kucharski, Markus Reineke

Comments: 11 pages, comments are welcome

Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); K-Theory and Homology (math.KT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[52]  arXiv:2402.13082 (cross-list from math.NT) [pdf, other]

Title: Heat Expansion and Zeta

Authors: Alain Connes

Comments: 11 pages, 2 Figures

Subjects: Number Theory (math.NT); Quantum Algebra (math.QA)

[53]  arXiv:2402.13242 (cross-list from math.GT) [pdf, other]

Title: Density and unitarity of the Burau representation from a non-semisimple TQFT

Authors: Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand, Joshua Sussan

Comments: 27 pages, 4 fgures

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Representation Theory (math.RT); Quantum Physics (quant-ph)

[54]  arXiv:2402.13544 (cross-list from math.RT) [pdf, ps, other]

Title: Monoidal Jantzen filtrations

Authors: Ryo Fujita, David Hernandez

Comments: 59 pages, v2: minor revision

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[55]  arXiv:2402.13978 (cross-list from math.CO) [pdf, other]

Title: Web bases in degree two from hourglass plabic graphs

Authors: Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, Jessica Striker, Joshua P. Swanson

Comments: 24 pages

Subjects: Combinatorics (math.CO); Quantum Algebra (math.QA); Representation Theory (math.RT)

[56]  arXiv:2402.14214 (cross-list from math-ph) [pdf, ps, other]

Title: Ruijsenaars wavefunctions as modular group matrix coefficients

Authors: Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin, Gus Schrader, Alexander Shapiro

Subjects: Mathematical Physics (math-ph); Quantum Algebra (math.QA); Representation Theory (math.RT); Exactly Solvable and Integrable Systems (nlin.SI)

[57]  arXiv:2402.14661 (cross-list from math.GT) [pdf, ps, other]

Title: State sum invariants of knots from idempotents in quandle rings

Authors: Mohamed Elhamdadi, Dipali Swain

Comments: 14 pages, 5 tables, 4 figures; Comments are welcome

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[58]  arXiv:2402.15428 (cross-list from math.RA) [pdf, ps, other]

Title: Rota--Baxter operators and skew left brace structures over Heisenberg Group

Authors: Nishant Rathee

Comments: 14 pages. The mistake in the matrix multiplication given to compute skew left brace structures has now been corrected

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR); Quantum Algebra (math.QA)

[59]  arXiv:2402.15829 (cross-list from math.RT) [pdf, ps, other]

Title: Young wall models for the level 1 highest weight and Fock space crystals of $U_q(E_6^{(2)})$ and $U_q(F_4^{(1)})$

Authors: Shaolong Han, Yuanfeng Jin, Seok-Jin Kang, Duncan Laurie

Comments: arXiv admin note: text overlap with arXiv:2311.03905

Subjects: Representation Theory (math.RT); Combinatorics (math.CO); Quantum Algebra (math.QA)

[60]  arXiv:2402.16074 (cross-list from math.RT) [pdf, ps, other]

Title: Cluster structure on genus 2 spherical DAHA: seven-colored flower

Authors: Semeon Arthamonov, Leonid Chekhov, Philippe Di Francesco, Rinat Kedem, Alexander Shapiro, Michael Shapiro, Gus Schrader

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[61]  arXiv:2402.16120 (cross-list from math.RT) [pdf, ps, other]

Title: Zhelobenko-Stern formulas and $B_n$ Toda wave functions

Authors: Artur Galiullin, Sergey Khoroshkin, Maxim Lyachko

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)

[62]  arXiv:2402.16794 (cross-list from math.SG) [pdf, other]

Title: BV bialgebra structures in Floer theory and string topology

Authors: Janko Latschev, Alexandru Oancea

Comments: 76 pages, including 1 appendix

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Quantum Algebra (math.QA)

[63]  arXiv:2402.16804 (cross-list from math.GT) [pdf, ps, other]

Title: Construction of Hodge structures on the $\mathrm{SO}(3)$ modular functors

Authors: Pierre Godfard

Comments: 67 pages, 28 figures

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[64]  arXiv:2402.17037 (cross-list from math.GT) [pdf, other]

Title: The Kauffman Bracket Skein Module at an irreducible representation

Authors: Mohammad Farajzadeh-Tehrani, Charles Frohman, Joanna Kania-Bartoszynska

Comments: 26 pages, 1 figure

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[65]  arXiv:2402.17181 (cross-list from math-ph) [pdf, ps, other]

Title: On the variety of X-states

Authors: Luca Candelori, Vladimir Y. Chernyak, John R. Klein

Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Quantum Algebra (math.QA); Quantum Physics (quant-ph)

[66]  arXiv:2402.17484 (cross-list from math.GT) [pdf, other]

Title: Invariants of flat connections on 4-manifolds from Hopf group-algebras

Authors: Tomoro Mochida

Comments: 25 pages, 15 figures; corrected typos, slightly modified Section 4.3.2

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[67]  arXiv:2402.17865 (cross-list from math.RT) [pdf, ps, other]

Title: The deformed Tanisaki-Garsia-Procesi modules

Authors: Maico Freitas, Evgeny Mukhin

Comments: Latex, 24 pages

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[68]  arXiv:2402.18716 (cross-list from math.CO) [pdf, other]

Title: Temperley-Lieb Crystals

Authors: Son Nguyen, Pavlo Pylyavskyy

Subjects: Combinatorics (math.CO); Quantum Algebra (math.QA); Rings and Algebras (math.RA); Representation Theory (math.RT)

[69]  arXiv:2402.19300 (cross-list from math.RA) [pdf, other]

Title: $\mathrm{SL}_2$-like Properties of Matrices Over Noncommutative Rings and Generalizations of Markov Numbers

Authors: Zachary Greenberg, Dani Kaufman, Anna Wienhard

Comments: 40 pages, 10 figures. Comments welcome

Subjects: Rings and Algebras (math.RA); Number Theory (math.NT); Quantum Algebra (math.QA)

[70]  arXiv:2402.05920 (cross-list from hep-th) [pdf, ps, other]

Title: Simple Representations of BPS Algebras: the case of $Y(\widehat{\mathfrak{gl}}_2)$

Authors: Dmitry Galakhov, Alexei Morozov, Nikita Tselousov

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Representation Theory (math.RT)

[71]  arXiv:2402.07027 (cross-list from cs.DS) [pdf, ps, other]

Title: Quantum Speedup for Spectral Approximation of Kronecker Products

Authors: Yeqi Gao, Zhao Song, Ruizhe Zhang

Comments: arXiv admin note: text overlap with arXiv:2311.03215 by other authors

Subjects: Data Structures and Algorithms (cs.DS); Emerging Technologies (cs.ET); Machine Learning (cs.LG); Quantum Algebra (math.QA); Quantum Physics (quant-ph)

[72]  arXiv:2402.08176 (cross-list from hep-th) [pdf, other]

Title: Representations of a quantum-deformed Lorentz algebra, Clebsch-Gordan map, and Fenchel-Nielsen representation of quantum complex flat connections at level-$k$

Authors: Muxin Han

Comments: 28 pages, 4 figures

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Geometric Topology (math.GT); Quantum Algebra (math.QA)

[73]  arXiv:2402.13888 (cross-list from hep-th) [pdf, other]

Title: di-Langlands correspondence and extended observables

Authors: Saebyeok Jeong, Norton Lee, Nikita Nekrasov

Comments: 50+11 pages

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)

[74]  arXiv:2402.13889 (cross-list from hep-th) [pdf, other]

Title: Bispectral duality and separation of variables from surface defect transition

Authors: Saebyeok Jeong, Norton Lee

Comments: 62+11 pages; 10 figures

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)

[75]  arXiv:2402.14991 (cross-list from cs.LG) [pdf, other]

Title: Quantum Theory and Application of Contextual Optimal Transport

Authors: Nicola Mariella, Albert Akhriev, Francesco Tacchino, Christa Zoufal, Juan Carlos Gonzalez-Espitia, Benedek Harsanyi, Eugene Koskin, Ivano Tavernelli, Stefan Woerner, Marianna Rapsomaniki, Sergiy Zhuk, Jannis Born

Comments: ICML 2024

Subjects: Machine Learning (cs.LG); Emerging Technologies (cs.ET); Quantum Algebra (math.QA); Quantitative Methods (q-bio.QM); Quantum Physics (quant-ph)

[76]  arXiv:2402.16191 (cross-list from nlin.SI) [pdf, ps, other]

Title: Commutative Poisson algebras from deformations of noncommutative algebras

Authors: Alexander V. Mikhailov, Pol Vanhaecke

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[77]  arXiv:2402.18310 (cross-list from nlin.SI) [pdf, other]

Title: Deformed cluster maps of type $A_{2N}$

Authors: Jan E. Grabowski, Andrew N.W. Hone, Wookyung Kim

Comments: 40 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Dynamical Systems (math.DS); Quantum Algebra (math.QA)

[78]  arXiv:2402.18536 (cross-list from gr-qc) [pdf, other]

Title: Quantum Gravity: are we there yet?

Authors: Shahn Majid

Comments: 19 pages 6 figures, research + review (intended for a volume on 25 years into the millennium)

Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)