Hopf crossed module (co)algebras

Sozer, Kursat; Virelizier, Alexis

Document type :

Pré-publication ou Document de travail

Title :

Hopf crossed module (co)algebras

Author(s) :

Sozer, Kursat [Auteur]
McMaster University [Hamilton, Ontario]
Virelizier, Alexis [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Publication date :

2023

English keyword(s) :

Quantum Algebra (math.QA)
FOS: Mathematics
16T05
18M05
18A50
18G45

HAL domain(s) :

Mathématiques [math]/Algèbres quantiques [math.QA]

English abstract : [en]

Given a crossed module $χ$, we introduce Hopf $χ$-(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 ...
Show more >Given a crossed module $χ$, we introduce Hopf $χ$-(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 $χ$-graded (meaning that both objects and morphisms have degrees which are related via $χ$).Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

2305.15485
Open access
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Hopf crossed module (co)algebras

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