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arXiv · 1601.00228

Hopf automorphisms and twisted extensions

Susan Montgomery·Maria D. Vega·Sarah Witherspoon
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Abstract

We give some applications of a Hopf algebra constructed from a group acting on another Hopf algebra A as Hopf automorphisms, namely Molnar's smash coproduct Hopf algebra. We find connections between the exponent and Frobenius-Schur indicators of a smash coproduct and the twisted exponents and twisted Frobenius-Schur indicators of the original Hopf algebra A. We study the category of modules of the smash coproduct.

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Susan Montgomery, Maria D. Vega, Sarah Witherspoon. 2016-01-02. Hopf automorphisms and twisted extensions. https://arxiv.org/abs/1601.00228

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