arXiv math.QA Quantum Algebra
@mathQAb
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Unofficial bot by @vela with https://t.co/qRyAuN2QxC. @mathMPb @mathNAb @mathNTb @mathOAb @mathOCb @mathPRb @mathRAb @mathRTb @mathSGb @mathSPb ...
Joined April 2013
Andrew Schopieray: Modular fusion categories with few twists
arxiv.org
We classify modular fusion categories up to braided equivalence with less than four distinct twists of simple objects by observing that under this assumption, for each positive integer $N$, there...
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Calvin McPhail-Snyder: A quantization of the $\operatorname{SL}_2(\mathbb{C})$-Chern-.
arxiv.org
Previous work of the author and Reshetikhin shows how to use modules over the unrestricted quantum group (at a root of unity) to define quantum representations of a groupoid of braids with flat...
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Snyder, et al.: Cyclic $\mathcal{U}_\xi(\mathfrak{sl}_2)$-modules and invarian.
arxiv.org
The main result of this paper is the factorization of the holonomy $R$-matrix for quantum $\mathfrak{sl}_2$ at a root of unity into a product of four quantum holonomy dilogarithms. This...
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[2025-09-03 Wed (UTC), 3 new articles found for mathQA Quantum Algebra].
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[2025-09-02 Tue (UTC), no new articles found for mathQA Quantum Algebra].
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Jianqi Liu, Levi Segal: On rank-two parabolic-type vertex operator algebras
arxiv.org
In this paper, we undertake a systematic study of the parabolic-type sub-vertex operator algebras (VOAs) \(V_P\) of rank-two lattice VOAs \(V_L\), originally introduced by the first-named author....
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Goswami, Samadder: Discrete quantum group coaction on the circle
arxiv.org
We prove by an explicit calculation that if any Kac-type discrete quantum group $\mathcal{Q}$ has a faithful coaction on $C(S^1)$ which is `linear' in the sense that it leaves the space spanned by...
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[2025-09-01 Mon (UTC), 2 new articles found for mathQA Quantum Algebra].
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[2025-08-29 Fri (UTC), no new articles found for mathQA Quantum Algebra].
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M\"uller, Walton: Morita invariants of quasitriangular comodule algebras
arxiv.org
We use representations of braid groups of Coxeter types BC and D to produce invariants of representation categories of quasitriangular comodule algebras. Such categories form a prevalent class of...
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Zhihao Wang: Centers and representations of the ${\rm SL}_n$ quantum Teichm.
arxiv.org
In this paper, we compute the center of the balanced Fock-Goncharov algebra and determine its rank over the center when the quantum parameter is a root of unity. These results have potential...
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Ramil K. Aliev: On an analogue of Frobenius formalism for 3-algebras and penta.
arxiv.org
Ruth J.Lawrence introduced a notion of a 3-algebra to construct invariants of 3-manifolds based on their triangulations in her paper "Algebras and triangular relations". Her primary definition is...
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[2025-08-28 Thu (UTC), 3 new articles found for mathQA Quantum Algebra].
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McRae, Sopin: A tensor category construction of the $W_{p,q}$ triplet vertex.
arxiv.org
For coprime $p,q\in\mathbb{Z}_{\geq 2}$, the triplet vertex operator algebra $W_{p,q}$ is a non-simple extension of the universal Virasoro vertex operator algebra of central charge...
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c, et al.: W-algebras as conformal extensions of affine VOAs
arxiv.org
We provide a criterion for a vertex operator superalgebra homomorphism from an affine vertex algebra to another vertex superalgebra to be conformal, and an additional criterion that guarantees...
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[2025-08-27 Wed (UTC), 2 new articles found for mathQA Quantum Algebra].
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Azam, Farhadi: Involutive root-graded Lie algebras and Lie tori of type $A$
arxiv.org
We investigate the concept of a ``Chevalley involution'' within the framework of root-graded Lie algebras with compatible grading. We provide a characterization of all centerless Lie tori of type...
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[2025-08-26 Tue (UTC), 1 new article found for mathQA Quantum Algebra].
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Deniz Yeral: Frobenius Algebras, Factorization Homology and the Reshetikhin.
arxiv.org
For a ribbon fusion category $\mathcal{A}$ and a special symmetric commutative Frobenius algebra $F$ in $\mathcal{A}$, we use factorization homology and the ansular correlators obtained via the...
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[2025-08-25 Mon (UTC), 1 new article found for mathQA Quantum Algebra].
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