Clifford theory of bimodules

DOI10.1080/00927870008826942zbMath1010.20002OpenAlexW1974282063MaRDI QIDQ4953306

Andrei Marcus

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1080/00927870008826942

zbMATH Keywords

bimodulesfinite groupsdefect groupsgraded algebrasGreen correspondenceindecomposable summandsequivalences of categoriesgraded Jacobson radicaladditive subcategories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Graded rings and modules (associative rings and algebras) (16W50) Bimodules in associative algebras (16D20)

Cites Work

• Unnamed Item
• The equivalence of various generalizations of group rings and modules
• The representation theory of fully group-graded algebras
• Graded equivalence theory with applications
• Modules graded by G-sets
• Equivalences induced by graded bimodules
• A module-theoretic approach to Clifford theory for blocks