Hopf actions on vertex operator algebras

2018/03/03 by Dong, Chongying, Wang, Hao · 1 citation
#17B69 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1803.01253

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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• Y(z)-injective vertex superalgebras and Hopf actions

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• Y(z)-injective vertex superalgebras and Hopf actions
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