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)