Hopf actions on vertex algebras
Quantum Algebra
2023-10-13 v1
Abstract
In this article, we investigate Hopf actions on vertex algebras. Our first main result is that every finite-dimensional Hopf algebra that inner faithfully acts on a given \pi_2-injective vertex algebra must be a group algebra. Secondly, under suitable assumptions, we establish a Schur-Weyl type duality for semisimple Hopf actions on Hopf modules of vertex algebras.
Keywords
Cite
@article{arxiv.2310.08506,
title = {Hopf actions on vertex algebras},
author = {Chongying Dong and Li Ren and Chao Yang},
journal= {arXiv preprint arXiv:2310.08506},
year = {2023}
}
Comments
20 pages