Zur Reduktion modulo p unipotenter Charaktere endlicher Chevalley- Gruppen

DOI10.1007/BF01214985zbMath0502.20022OpenAlexW2061274298MaRDI QIDQ1172698

Jens Carsten Jantzen

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173221

zbMATH Keywords

Weyl groupFrobenius morphismenveloping algebraprojective moduleprimitive idealsDeligne-Lusztig characterscharacter groupirreducible moduleDynkin diagramBrauer charactermaximal torusfinite Chevalley groupsunipotent representationshyperalgebracomplex simple Lie algebrafundamental weightsvirtual charactersimply connected simple algebraic groupcharacters of Weyl modulesinfinitesimal subgroupirreducible p- modular representationsreductions modulo ptwisted group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Étale and other Grothendieck topologies and (co)homologies (14F20) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (5)

Representations of finite groups ⋮ A truncation formula for certain principal indecomposable modules of finite chevalley groups ⋮ Filtrations of principal indecomposable modules of Frobenius kernels of reductive groups ⋮ Reducing mod 𝑝 complex representations of finite reductive groups ⋮ Reduction modulo \(p\) of some Deligne-Lusztig characters

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