Quantum Algebra

Authors and titles for recent submissions

• Thu, 21 May 2020
• Wed, 20 May 2020
• Tue, 19 May 2020
• Mon, 18 May 2020
• Fri, 15 May 2020

Thu, 21 May 2020

[1]  arXiv:2005.09652 [pdf, ps, other]

Title: Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds

Authors: Fredy Díaz Garcí, Andrey Krutov, Réamonn Ó Buachalla, Petr Somberg, Karen Strung

Comments: 21 pages, no figures. arXiv admin note: text overlap with arXiv:1912.08802

Subjects: Quantum Algebra (math.QA); Algebraic Geometry (math.AG); Differential Geometry (math.DG)

[2]  arXiv:2005.10234 (cross-list from math.RT) [pdf, ps, other]

Title: Trialities of $\mathcal{W}$-algebras

Authors: Thomas Creutzig, Andrew R. Linshaw

Comments: 81 pages

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

[3]  arXiv:2005.09821 (cross-list from math.OA) [pdf, ps, other]

Title: Realizations of Rigid C*-Tensor Categories as Bimodules over GJS C*-Algebras

Authors: Michael Hartglass, Roberto Hernandez Palomares

Comments: 32 pages, many figures

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

Wed, 20 May 2020

[4]  arXiv:1912.12808 (cross-list from math-ph) [pdf, ps, other]

Title: Generic triangular solutions of the reflection equation: $U_{q}(\widehat{sl_2})$ case

Authors: Zengo Tsuboi

Comments: 17 pages

Journal-ref: J. Phys. A: Math. Theor. 53 (2020) 225202

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

Tue, 19 May 2020

[5]  arXiv:2005.08544 [pdf, other]

Title: Gromov-Hausdorff convergence of state spaces for spectral truncations

Authors: Walter D. van Suijlekom

Comments: 14 pages, 3 figures

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

[6]  arXiv:2005.08398 [pdf, ps, other]

Title: Permutation orbifolds of Virasoro vertex algebras and $W$-algebras

Authors: Antun Milas, Michael Penn, Christopher Sadowski

Comments: 23 pages

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

[7]  arXiv:2005.08342 [pdf, ps, other]

Title: On the Hopf algebra structure of the Lusztig quantum divided power algebras

Authors: Nicolás Andruskiewitsch, Iván Angiono, Cristian Vay

Comments: 21 pages

Subjects: Quantum Algebra (math.QA)

[8]  arXiv:2005.08048 [pdf, ps, other]

Title: Link homology and Frobenius extensions II

Authors: Mikhail Khovanov, Louis-Hadrien Robert

Comments: 39 pages, many tikz figures and diagrams

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

[9]  arXiv:2005.08043 [pdf, ps, other]

Title: Examples of finite-dimensional pointed Hopf algebras in characteristic $2$

Authors: Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora, Daiana Flôres

Comments: 15 pages

Subjects: Quantum Algebra (math.QA)

[10]  arXiv:2005.08564 (cross-list from math.GT) [pdf, ps, other]

Title: Quandle cohomology, extensions and automorphisms

Authors: Valeriy Bardakov, Mahender Singh

Comments: 26 pages

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

[11]  arXiv:2005.08176 (cross-list from math.GT) [pdf, other]

Title: The ADO Invariants are a q-Holonomic Family

Authors: Jennifer Brown, Tudor Dimofte, Stavros Garoufalidis, Nathan Geer

Comments: 42 pages, 2 figures

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

Mon, 18 May 2020

[12]  arXiv:2005.07470 [pdf, ps, other]

Title: Irreducible modules over finite simple Lie pseudoalgebras IV. Non-primitive pseudoalgebras

Authors: Alessandro D'Andrea

Comments: 36 pages

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

[13]  arXiv:2005.07599 (cross-list from math.RT) [pdf, other]

Title: Universal filtered quantizations of nilpotent Slodowy slices

Authors: Filippo Ambrosio, Giovanna Carnovale, Francesco Esposito, Lewis Topley

Comments: 25 pages, comments welcome

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

Fri, 15 May 2020

[14]  arXiv:2005.07172 [pdf, other]

Title: Triangle presentations and tilting modules for $\text{SL}_{2k+1}$

Authors: Corey Jones

Comments: Comments welcome!

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

[15]  arXiv:2005.06961 [pdf, ps, other]

Title: Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators

Authors: Julien Gaboriaud, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov

Comments: 19 pages, 32 references

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA)

[16]  arXiv:2005.06957 [pdf, ps, other]

Title: New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras

Authors: Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet

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

[17]  arXiv:2005.07183 (cross-list from math.CT) [pdf, ps, other]

Title: Pivotal Objects in Monoidal Categories and Their Hopf Monads

Authors: Aryan Ghobadi

Comments: 31 pages, 6 figures, comments are welcome!

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

• Thu, 21 May 2020
• Wed, 20 May 2020
• Tue, 19 May 2020
• Mon, 18 May 2020
• Fri, 15 May 2020