Module Characters and Projective Representations of Finite Groups

DOI10.1112/PLMS/S3-62.1.151zbMath0810.20012OpenAlexW2053294933MaRDI QIDQ3970366

Freddy M. J. van Oystaeyen, Erna Nauwelaerts

Publication date: 25 June 1992

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-62.1.151

zbMATH Keywords

finite-dimensional algebrasGalois extensiontracesSchur multipliersorthogonality relationsprojective representationsrepresentations of finite groupsprogeneratorsprimitive central idempotentsGalois actionsfinite central extensionBrauer splitting theoremcentres of blocksfinitely generated projective indecomposable modulesmodules over twisted group ringsray class sumsseparable \(R\)-algebras

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Projective representations and multipliers (20C25)

Related Items (3)

Clifford theory for subgroups of grading groups ⋮ Applications of Frobenius algebras to representation theory of Schur algebras ⋮ Introducing crystalline graded algebras.

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