Extending irreducible modules

DOI10.1016/0021-8693(81)90300-8zbMath0497.20001OpenAlexW2040028062MaRDI QIDQ1170607

Everett C. Dade

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90300-8

zbMATH Keywords

extensionsClifford theorycrossed productstrongly graded ringfinite-dimensional irreducible modulefinite-dimensional simple algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Graded rings and modules (associative rings and algebras) (16W50) Centralizing and normalizing extensions (16S20)

Related Items

On Clifford theory with Galois action ⋮ Extending irreducible representations of normal subgroups ⋮ Clifford theory of simple modules ⋮ Mackey's obstruction map for discrete graded algebras ⋮ On picard groups and graded rings ⋮ Hopf-Galois extensions and an exact sequence for \(H\)-Picard groups. ⋮ Clifford theory for Mackey algebras. ⋮ Integration of modules. I: Stability ⋮ Clifford theory and filtrations ⋮ Étendre les représentations autoduales. (Extending the selfdual representations) ⋮ Extending group modules in a relatively prime case

Cites Work

• Group-graded rings and modules
• A characteristic class of characters of finite \(\pi\)-separable groups
• Extensions of group representations over arbitrary fields
• Primitive ideals in crossed products and rings with finite group actions
• Stable Clifford theory
• Compounding Clifford's theory
• Cohomology theory in abstract groups. II
• Endliche Gruppen I
• Group Characters and Normal Hall Subgroups

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