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arXiv · 2305.15485

Hopf crossed module (co)algebras

Kursat Sozer·Alexis Virelizier
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Abstract

Given a crossed module $\chi$, we introduce Hopf $\chi$-(co)algebras which generalize Hopf algebras and Hopf group-(co)algebras. We interpret them as Hopf algebras in some symmetric monoidal category. We prove that their categories of representations are monoidal and $\chi$-graded (meaning that both objects and morphisms have degrees which are related via $\chi$).

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Kursat Sozer, Alexis Virelizier. 2023-05-24. Hopf crossed module (co)algebras. https://arxiv.org/abs/2305.15485

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