Factorisation quantum groups

Factorisation quantum groups

We develop vertex and factorisation algebra analogues of the theory of quasitriangular bialgebras. Analogously to the classical theory, we prove their categories of representations are controlled by spectral R-matrices. In the vertex algebra case this generalises previous notions due to Etingof-Kazh...

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Veröffentlicht in:arXiv.org 2023-12
1. Verfasser: Latyntsev, Alexei
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Algebra
Factorization
Homology
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description We develop vertex and factorisation algebra analogues of the theory of quasitriangular bialgebras. Analogously to the classical theory, we prove their categories of representations are controlled by spectral R-matrices. In the vertex algebra case this generalises previous notions due to Etingof-Kazhdan and Frenkel-Reshetikhin. Finally we give examples, including Borcherds twists and homology vertex algebras.
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subjects Algebra
Factorization
Homology
title Factorisation quantum groups
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