Quantum Algebra

Authors and titles for math.QA in Mar 2024

[1]  arXiv:2403.00481 [pdf, ps, other]

Title: Quantum symmetry in multigraphs (part II)

Authors: Debashish Goswami, Sk Asfaq Hossain

Subjects: Quantum Algebra (math.QA); Operator Algebras (math.OA); Quantum Physics (quant-ph)

[2]  arXiv:2403.01190 [pdf, ps, other]

Title: Polyhedral realizations for crystal bases and Young walls of classical affine types

Authors: Yuki Kanakubo

Comments: 45 pages

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

[3]  arXiv:2403.01819 [pdf, ps, other]

Title: Yang-Mills models on Noncommutative background

Authors: Dimitry Gurevich, Pavel Saponov

Subjects: Quantum Algebra (math.QA)

[4]  arXiv:2403.02098 [pdf, other]

Title: An edge-type state integral over local field and A-polynomials

Authors: Honghuai Fang

Subjects: Quantum Algebra (math.QA)

[5]  arXiv:2403.02643 [pdf, ps, other]

Title: Constructing Modular Tensor Categories with Hopf Algebras

Authors: Kun Zhou

Subjects: Quantum Algebra (math.QA)

[6]  arXiv:2403.04455 [pdf, ps, other]

Title: On the Classification of Finite Quasi-Quantum Groups over Abelian Groups

Authors: Hua-Lin Huang, Gongxiang Liu, Yuping Yang, Yu Ye

Comments: 30 pages. arXiv admin note: text overlap with arXiv:1710.07917

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

[7]  arXiv:2403.04461 [pdf, ps, other]

Title: Geometric Approach to I-Quantum Group of Affine Type D

Authors: Quanyong Chen, Zhaobing Fan

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

[8]  arXiv:2403.05167 [pdf, ps, other]

Title: Quantum duality principal and quantum symmetric pairs

Authors: Jinfeng Song

Comments: 13 pages

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

[9]  arXiv:2403.06663 [pdf, other]

Title: Anick resolution for the free unitary quantum group

Authors: Alexander Mang

Comments: 69+XV pages, 14 figures

Subjects: Quantum Algebra (math.QA)

[10]  arXiv:2403.06830 [pdf, ps, other]

Title: Reduction of Quantum Principal Bundles over non affine bases

Authors: Rita Fioresi, Emanuele Latini, Chiara Pagani

Comments: 25 pages

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

[11]  arXiv:2403.06881 [pdf, ps, other]

Title: Linear independence for $C_\ell^{(1)}$ by using $C_{2\ell}^{(1)}$

Authors: Mirko Primc, Goran Trupčević

Comments: 12 pages, 9 figures

Subjects: Quantum Algebra (math.QA)

[12]  arXiv:2403.07590 [pdf, other]

Title: Topological Quantum Mechanics on Orbifolds and Orbifold Index

Authors: Si Li, Peng Yang

Comments: 29 pages. Comments are welcome. arXiv admin note: text overlap with arXiv:1911.11173

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[13]  arXiv:2403.08521 [pdf, other]

Title: Quantised $\mathfrak{sl}_2$-differential algebras

Authors: Andrey Krutov, Pavle Pandžić

Comments: 10 pages

Subjects: Quantum Algebra (math.QA)

[14]  arXiv:2403.08814 [pdf, other]

Title: Solutions of tetrahedron equation from quantum cluster algebra associated with symmetric butterfly quiver

Authors: Rei Inoue, Atsuo Kuniba, Xiaoyue Sun, Yuji Terashima, Junya Yagi

Comments: 35 pages. arXiv admin note: text overlap with arXiv:2310.14529

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

[15]  arXiv:2403.08945 [pdf, ps, other]

Title: On the representations of a family of pointed Hopf algebras

Authors: Agustin Garcia Iglesias, Alfio Antonio Rodriguez

Comments: 39 pages

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

[16]  arXiv:2403.09787 [pdf, ps, other]

Title: Into Multiplier Hopf ($*$-)Graph Algebras

Authors: Farrokh Razavinia, Ghorbanali Haghighatdoost

Subjects: Quantum Algebra (math.QA)

[17]  arXiv:2403.09796 [pdf, ps, other]

Title: Perturbative Expansion of Yang-Baxter Operators

Authors: Emanuele Zappala

Comments: 16 pages. Comments welcome!

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

[18]  arXiv:2403.10366 [pdf, ps, other]

Title: A Graded Schur Lemma and a graded-monoidal structure for induced modules over graded-commutative algebras

Authors: Jürgen Fuchs, Tobias Grøsfjeld

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

[19]  arXiv:2403.11055 [pdf, ps, other]

Title: A new Young wall realization of $B(λ)$ and $B(\infty)$

Authors: Zhaobing Fan, Shaolong Han, Seok-Jin Kang, Young Rock Kim

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

[20]  arXiv:2403.12882 [pdf, ps, other]

Title: Quantum invariants arising from $U_h\mathfrak{sl}(2|1)$ are q-holonomic

Authors: Jennifer Brown, Nathan Geer

Comments: 15 pages

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

[21]  arXiv:2403.13182 [pdf, ps, other]

Title: The modular properties of $\mathfrak{sl}(2)$ torus $1$-point functions

Authors: Matthew Krauel, Jamal Noel Shafiq, Simon Wood

Comments: 34 pages, 2 tables

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

[22]  arXiv:2403.13735 [pdf, other]

Title: Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms

Authors: Bram Mesland, Adam Rennie

Comments: 52 pages

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Differential Geometry (math.DG); Operator Algebras (math.OA)

[23]  arXiv:2403.14975 [pdf, ps, other]

Title: Classification of right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$

Authors: Snehashis Mukherjee

Comments: 28 pages. Comments are welcomed

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

[24]  arXiv:2403.15096 [pdf, ps, other]

Title: Quantum group deformations and quantum $ R $-(co)matrices vs. Quantum Duality Principle

Authors: Gastón Andrés García, Fabio Gavarini

Comments: 72 pages. In this submission, several misprints have been fixed. This is a long, fully detailed version of the work: the version submitted for publication is shorter (58 pages)

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

[25]  arXiv:2403.15906 [pdf, ps, other]

Title: The breadth of Berikashvili's functor D

Authors: Johannes Huebschmann

Comments: 32 pages

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