Displaying similar documents to “Clifford theory for p-sections of finite groups”

Notes on purities

Ladislav Bican (1972)

Czechoslovak Mathematical Journal

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Slice modules over minimal 2-fundamental algebras

Zygmunt Pogorzały, Karolina Szmyt (2007)

Open Mathematics

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We consider a class of algebras whose Auslander-Reiten quivers have starting components that are not generalized standard. For these components we introduce a generalization of a slice and show that only in finitely many cases (up to isomorphism) a slice module is a tilting module.

Classification of irreducible weight modules

Olivier Mathieu (2000)

Annales de l'institut Fourier

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Let 𝔤 be a reductive Lie algebra and let 𝔥 be a Cartan subalgebra. A 𝔤 -module M is called a if and only if M = ⊕ λ M λ , where each weight space M λ is finite dimensional. The main result of the paper is the classification of all simple weight 𝔤 -modules. Further, we show that their characters can be deduced from characters of simple modules in category 𝒪 .