Semisimplicity of the Categories of Yetter–Drinfeld Modules and Long Dimodules

DOI10.1081/AGB-120037415zbMath1071.16029arXivmath/0210461MaRDI QIDQ3158245

Thomas Guédénon, Stefaan Caenepeel

Publication date: 21 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210461

zbMATH Keywords

Hopf algebrasprojective dimensionYetter-Drinfeld modulesinjective dimensionLong dimodulessemisimple categories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological dimension (category-theoretic aspects) (18G20)

Cites Work

• Unnamed Item
• Yetter-Drinfel'd categories associated to an arbitrary bialgebra
• The Long dimodules category and nonlinear equations
• A Maschke type theorem for Doi-Hopf modules and applications
• The Brauer group of dimodule algebras
• Minimal quasitriangular Hopf algebras
• The wedderburn-malcev theorem for comodule algebras

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