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arXiv · 2312.07274

Factorisation quantum groups

Alexei Latyntsev
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Abstract

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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Alexei Latyntsev. 2023-12-12. Factorisation quantum groups. https://arxiv.org/abs/2312.07274

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