Hopf actions on vertex operator algebras
Quantum Algebra
2018-03-06 v1 Representation Theory
Abstract
The Hopf actions on vertex operator algebras are investigated. If the action is semisimple, a Schur-Weyl type decomposition is obtained. When the Hopf algebra is finite dimensional and the action is faithful, the action is a group action. Moreover if the Hopf algebra is finite dimensional and the action is semisimple and inner faithful, the action is also a group action. In this case, inner faithfulness is equivalent to faithfulness.
Keywords
Cite
@article{arxiv.1803.01253,
title = {Hopf actions on vertex operator algebras},
author = {Chongying Dong and Hao Wang},
journal= {arXiv preprint arXiv:1803.01253},
year = {2018}
}
Comments
16 pages