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arXiv · 1803.01253

Hopf actions on vertex operator algebras

Chongying Dong·Hao Wang
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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.

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Chongying Dong, Hao Wang. 2018-03-03. Hopf actions on vertex operator algebras. https://arxiv.org/abs/1803.01253

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