By Kursat Sozer and Alexis Virelizier

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... Show more

March 18, 2024

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Hopf crossed module (co)algebras

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