Hopf crossed module (co)algebras

Sozer, Kursat; Virelizier, Alexis

Type de document :

Pré-publication ou Document de travail

Titre :

Hopf crossed module (co)algebras

Auteur(s) :

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

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Date de publication :

2023

Mot(s)-clé(s) en anglais :

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

Discipline(s) HAL :

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

Résumé en anglais : [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 ...
Lire la suite >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 $χ$).Lire moins >

Langue :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

2305.15485
Accès libre
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Hopf crossed module (co)algebras

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