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Quantum Algebra

Authors and titles for recent submissions

[ total of 22 entries: 1-22 ]
[ showing up to 25 entries per page: fewer | more ]

Fri, 1 Mar 2024

[1]  arXiv:2402.19138 [pdf, other]
Title: Generalized Pentagon Equations
Comments: 19 pages, 3 figures
Subjects: Quantum Algebra (math.QA)
[2]  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
Comments: 40 pages, 10 figures. Comments welcome
Subjects: Rings and Algebras (math.RA); Number Theory (math.NT); Quantum Algebra (math.QA)
[3]  arXiv:2402.18716 (cross-list from math.CO) [pdf, other]
Title: Temperley-Lieb Crystals
Subjects: Combinatorics (math.CO); Quantum Algebra (math.QA); Rings and Algebras (math.RA); Representation Theory (math.RT)

Thu, 29 Feb 2024

[4]  arXiv:2402.18501 [pdf, ps, other]
Title: Yangian of the periplectic Lie superalgebra
Authors: Maxim Nazarov
Comments: 35 pages
Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT); Exactly Solvable and Integrable Systems (nlin.SI)
[5]  arXiv:2402.18210 [pdf, ps, other]
Title: Pull-back and push-forward functors for holonomic modules over Cherednik algebras
Comments: 61 pages; comments very welcome
Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[6]  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)
[7]  arXiv:2402.18310 (cross-list from nlin.SI) [pdf, other]
Title: Deformed cluster maps of type $A_{2N}$
Comments: 40 pages
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Dynamical Systems (math.DS); Quantum Algebra (math.QA)
[8]  arXiv:2402.17865 (cross-list from math.RT) [pdf, ps, other]
Title: The deformed Tanisaki-Garsia-Procesi modules
Comments: Latex, 24 pages
Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

Wed, 28 Feb 2024

[9]  arXiv:2402.16852 [pdf, ps, other]
Title: Characterization of principal bundles: the noncommutative algebraic case
Comments: 54 pages
Subjects: Quantum Algebra (math.QA)
[10]  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
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)
[11]  arXiv:2402.17181 (cross-list from math-ph) [pdf, ps, other]
Title: On the variety of X-states
Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Quantum Algebra (math.QA); Quantum Physics (quant-ph)
[12]  arXiv:2402.17037 (cross-list from math.GT) [pdf, other]
Title: The Kauffman Bracket Skein Module at an irreducible representation
Comments: 26 pages, 1 figure
Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

Tue, 27 Feb 2024

[13]  arXiv:2402.16155 [pdf, ps, other]
Title: Deformation families of Novikov bialgebras via differential antisymmetric infinitesimal bialgebras
Comments: 30 pages
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Representation Theory (math.RT)
[14]  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)
[15]  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)
[16]  arXiv:2402.16794 (cross-list from math.SG) [pdf, other]
Title: BV bialgebra structures in Floer theory and string topology
Comments: 76 pages, including 1 appendix
Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Quantum Algebra (math.QA)
[17]  arXiv:2402.16191 (cross-list from nlin.SI) [pdf, ps, other]
Title: Classical Poisson structures from deformations of noncommutative algebras
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Quantum Algebra (math.QA)
[18]  arXiv:2402.16120 (cross-list from math.RT) [pdf, ps, other]
Title: Zhelobenko-Stern formulas and $B_n$ Toda wave functions
Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)
[19]  arXiv:2402.16074 (cross-list from math.RT) [pdf, ps, other]
Title: Cluster structure on genus 2 spherical DAHA: seven-colored flower
Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Quantum Algebra (math.QA)
[20]  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 $U_q(F_4^{(1)})$
Comments: arXiv admin note: text overlap with arXiv:2311.03905
Subjects: Representation Theory (math.RT); Combinatorics (math.CO); Quantum Algebra (math.QA)

Mon, 26 Feb 2024

[21]  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
Subjects: Rings and Algebras (math.RA); Group Theory (math.GR); Quantum Algebra (math.QA)
[22]  arXiv:2402.14991 (cross-list from cs.LG) [pdf, other]
Title: Quantum Theory and Application of Contextual Optimal Transport
Comments: Under review
Subjects: Machine Learning (cs.LG); Emerging Technologies (cs.ET); Quantum Algebra (math.QA); Quantitative Methods (q-bio.QM); Quantum Physics (quant-ph)
[ total of 22 entries: 1-22 ]
[ showing up to 25 entries per page: fewer | more ]

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