Quiver and relations forSL(2,pn) in characteristicpwithpodd

DOI10.1080/00927879808826158zbMath0913.20007OpenAlexW2317782242MaRDI QIDQ4395708

Hitoshi Koshita

Publication date: 7 April 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826158

zbMATH Keywords

group algebrasquivers with relationsfinite-dimensional basic algebras

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of quivers and partially ordered sets (16G20) Representations of finite groups of Lie type (20C33)

Related Items (4)

The \(p\)-adic group ring of \(\mathrm{SL}_2(p^f)\). ⋮ Centralisers of finite groups in locally finite simple groups ⋮ Perverse equivalence in \(SL(2,q)\) ⋮ The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd.

Cites Work

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• Projective modules in blocks with elementary Abelian defect groups
• Blocks of tame representation type and related algebras
• Quiver and relations for \(\text{SL}(2,2^ n)\) in characteristic \(2\)
• The Cohomology of Irreducible Modules Over SL(2,pⁿ )
• Composition Factors of the Principal Indecomposable Modules for the Special Linear Group SL(2, q )
• The Projective Indecomposable Modules of SL(2, p ⁿ )

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