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Quantum Algebra

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Total of 23 entries
Showing up to 25 entries per page: fewer | more | all

Fri, 21 Jun 2024 (showing 8 of 8 entries )

[1] arXiv:2406.13874 [pdf, html, other]
Title: Structure theorems for braided Hopf algebras
Craig Westerland
Comments: Comments welcome
Subjects: Quantum Algebra (math.QA); Algebraic Topology (math.AT)
[2] arXiv:2406.12867 [pdf, other]
Title: Classification of quasi-affine Generalized Dynkin Diagrams with Rank $3$ and Rank $2$
Zhengtang Tan, Shouchuan Zhang
Comments: 338 pages
Subjects: Quantum Algebra (math.QA)
[3] arXiv:2406.12858 [pdf, other]
Title: Tutorial on one-dimensional $q$-Fourier transforms
Hartmut Wachter
Comments: 44 pages
Subjects: Quantum Algebra (math.QA)
[4] arXiv:2406.14547 (cross-list from math.SG) [pdf, html, other]
Title: A Mathematical Definition of Path Integrals on Symplectic Manifolds
Joshua Lackman
Comments: 20 pages
Subjects: Symplectic Geometry (math.SG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA)
[5] arXiv:2406.14414 (cross-list from math.AG) [pdf, html, other]
Title: Normal forms for ordinary differential operators, I
J. Guo, A.B. Zheglov
Comments: 67 p
Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Rings and Algebras (math.RA)
[6] arXiv:2406.14375 (cross-list from math.RT) [pdf, html, other]
Title: Simple modules over 3-cyclic quantum Weyl Algebra at roots of unity
Sanu Bera, Sugata Mandal, Snehashis Mukherjee, Soumendu Nandy
Comments: 23 pages. Comments are welcomed
Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)
[7] arXiv:2406.13841 (cross-list from math.RT) [pdf, html, other]
Title: Kac-Moody algebras in Deligne's Category
Ivan Motorin
Subjects: Representation Theory (math.RT); Category Theory (math.CT); Quantum Algebra (math.QA)
[8] arXiv:2406.13438 (cross-list from math.RT) [pdf, other]
Title: Computing the center of a fusion category
Fabian Mäurer, Ulrich Thiel
Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Algebra (math.QA)

Wed, 19 Jun 2024 (showing 4 of 4 entries )

[9] arXiv:2406.12734 (cross-list from math.AT) [pdf, html, other]
Title: Unstable cohomology of $\mathsf{GL}_{2n}(\mathbb{Z})$ and the odd commutative graph complex
Francis Brown, Simone Hu, Erik Panzer
Comments: 77 pages, ancillary files with Pfaffian forms and integrals of graphs
Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT); Number Theory (math.NT); Quantum Algebra (math.QA)
[10] arXiv:2406.12132 (cross-list from math.RT) [pdf, html, other]
Title: Diagrammatics for the smallest quantum coideal and Jones--Wenzl projectors
Catharina Stroppel, Zbigniew Wojciechowski
Comments: This is partially based on the second authors Master Thesis from 2022
Subjects: Representation Theory (math.RT); Combinatorics (math.CO); Quantum Algebra (math.QA)
[11] arXiv:2406.12102 (cross-list from math-ph) [pdf, html, other]
Title: Scaling limit of the ground state Bethe roots for the inhomogeneous XXZ spin-$\frac{1}{2}$ chain
Sascha Gehrmann, Gleb A. Kotousov, Sergei L. Lukyanov
Comments: 66 pages, 3 figures
Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)
[12] arXiv:2406.11964 (cross-list from hep-th) [pdf, other]
Title: Dualities and Categorical Structures from 2D Up
Veronica Pasquarella
Comments: author's PhD thesis (based on the official version submitted for dissertation); 320 pages (the original version was 442 pages due to different font type)
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Category Theory (math.CT); Quantum Algebra (math.QA)

Tue, 18 Jun 2024 (showing 4 of 4 entries )

[13] arXiv:2406.11605 [pdf, html, other]
Title: Categorified Open Topological Field Theories
Lukas Müller, Lukas Woike
Comments: 14 pages, some diagrams
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Algebraic Topology (math.AT)
[14] arXiv:2406.11058 [pdf, html, other]
Title: Hopf Galois extensions of Hopf algebroids
Xiao Han, Peter Schauenburg
Subjects: Quantum Algebra (math.QA)
[15] arXiv:2406.10784 [pdf, html, other]
Title: Braid Group Action and Quantum Queer Superalgebra
Jianmin Chen, Zhenhua Li, Hongying Zhu
Subjects: Quantum Algebra (math.QA)
[16] arXiv:2406.10646 [pdf, html, other]
Title: Modularity of admissible-level $\mathfrak{sl}_{3}$ minimal models with denominator $2$
Justine Fasquel, Christopher Raymond, David Ridout
Comments: 41 pages, 5 figures, comments welcome
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Representation Theory (math.RT)

Mon, 17 Jun 2024 (showing 3 of 3 entries )

[17] arXiv:2406.10009 [pdf, html, other]
Title: Matched pairs and Yetter-Drinfeld braces
Davide Ferri, Andrea Sciandra
Comments: 29 pages
Subjects: Quantum Algebra (math.QA); Category Theory (math.CT); Rings and Algebras (math.RA); Representation Theory (math.RT)
[18] arXiv:2406.09800 [pdf, html, other]
Title: R-matrix presentation of quantum affine superalgebra for type $\mathfrak{osp}(2m+1|2n)$
Xianghua Wu, Hongda Lin, Honglian Zhang
Subjects: Quantum Algebra (math.QA)
[19] arXiv:2406.09667 (cross-list from math.OA) [pdf, html, other]
Title: Anomalies for conformal nets associated with lattices and $T$-kernels
Marcel Bischoff, Pradyut Karmakar
Comments: Comments are welcome!
Subjects: Operator Algebras (math.OA); Mathematical Physics (math-ph); Functional Analysis (math.FA); Quantum Algebra (math.QA)

Fri, 14 Jun 2024 (showing 4 of 4 entries )

[20] arXiv:2406.09057 [pdf, html, other]
Title: The $q$-Schur algebras in type $D$, I, fundamental multiplication formulas
Jie Du, Yiqiang Li, Zhaozhao Zhao
Comments: 33 pages. Comments welcome
Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)
[21] arXiv:2406.08956 [pdf, html, other]
Title: Skein Categories in Non-semisimple Settings
Jennifer Brown, Benjamin Haïoun
Comments: 29 pages. Comments welcome!
Subjects: Quantum Algebra (math.QA); Category Theory (math.CT); Geometric Topology (math.GT)
[22] arXiv:2406.09171 (cross-list from hep-th) [pdf, html, other]
Title: Schur Quantization and Complex Chern-Simons theory
Davide Gaiotto, Jörg Teschner
Comments: 114 pages, 2 figures. v2: removed a paragraph from the Introduction
Subjects: High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)
[23] arXiv:2406.08833 (cross-list from cs.ET) [pdf, other]
Title: Harnessing Quantum Entanglement: Comprehensive Strategies for Enhanced Communication and Beyond in Quantum Networks
Amit Kumar Bhuyan, Hrishikesh Dutta
Comments: 56 pages, 11 figures, 3 tables
Subjects: Emerging Technologies (cs.ET); Networking and Internet Architecture (cs.NI); Quantum Algebra (math.QA); Quantum Physics (quant-ph)
Total of 23 entries
Showing up to 25 entries per page: fewer | more | all