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arxiv: 0704.3036 · v2 · submitted 2007-04-23 · 🧮 math.QA

Involutory quasi-Hopf algebras

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keywords involutoryquasi-hopfalgebradualalgebrasbasiccosemisimpleintegral
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We introduce and investigate the basic properties of an involutory (dual) quasi-Hopf algebra. We also study the representations of an involutory quasi-Hopf algebra and prove that an involutory dual quasi-Hopf algebra with non-zero integral is cosemisimple.

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