Yetter-Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories

Yetter-Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories

In this paper, we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter-Drinfeld modules over a weak braided Hopf monoid. We apply the general result to the calculus of the center in module categories.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica Sinica. English series 2014-04, Vol.30 (4), p.567-590
Hauptverfasser: Alonso Alvarez, Jose Nicanor, Gonzalez Rodriguez, Ramon, Soneira Calvo, Carlos
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Applied mathematics
Braiding
Calculus
Categories
Construction
Hopf
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Modules
Monoids
Oil field equipment
Studies
Theorems
分类
幺半群
扶正器
模块
模范畴
等价
辫子
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter-Drinfeld modules over a weak braided Hopf monoid. We apply the general result to the calculus of the center in module categories.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-014-3240-2