Extending irreducible modules
From MaRDI portal
Publication:1170607
DOI10.1016/0021-8693(81)90300-8zbMath0497.20001OpenAlexW2040028062MaRDI QIDQ1170607
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
extensionsClifford theorycrossed productstrongly graded ringfinite-dimensional irreducible modulefinite-dimensional simple algebras
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
This page was built for publication: Extending irreducible modules