Factorisation quantum groups
Algebraic Geometry
2023-12-13 v1 Quantum Algebra
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.
Cite
@article{arxiv.2312.07274,
title = {Factorisation quantum groups},
author = {Alexei Latyntsev},
journal= {arXiv preprint arXiv:2312.07274},
year = {2023}
}
Comments
81 pages; comments welcome