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- W1833133040 abstract "In dieser Arbeit beschreiben wir zwei algebraische Konstruktionen im Zusammenhang mit monoidalen Kategorien.Die erste startet mit einer monoidalen Kategorie C zusammen mit einer schwachen Gruppenwirkung einer diskreten Gruppe G und liefert eine G-aquivariante Kategorie, deren neutrale Komponente das Drinfeld Zentrum von C ist.Die zweite Konstruktion beschaftigt sich mit Hopf-Algebren in verzopften Kategorien. Wir beschreiben die partielle Dualisierung H’ einer Hopf-Algebra H relativ zu einer Hopf-Unteralgebra A. Auserdem vergleichen wir die Kategorien der Yetter-Drinfeld-Moduln uber H und H’. In this thesis we describe two algebraic constructions which are connected to monoidal categories.The first one starts with a monoidal category C together with an action of a discrete group G and produces a G-equivariant category whose neutral component is the Drinfeld center of C.The second construction deals with Hopf algebras in braided categories. We describe the partial dual H’ of a Hopf algebra H relative to a Hopf subalgebra A. Moreover, we compare the categories of Yetter-Drinfeld modules over H and H’." @default.
- W1833133040 created "2016-06-24" @default.
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- W1833133040 date "2014-08-13" @default.
- W1833133040 modified "2023-09-27" @default.
- W1833133040 title "Two constructions in monoidal categories : Equivariantly extended Drinfel’d Centers and Partially dualized Hopf Algebras" @default.
- W1833133040 hasPublicationYear "2014" @default.
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