Filtrations of the modules for Chevalley groups arising from admissible lattices

DOI10.1007/BF02571789zbMath0734.20020MaRDI QIDQ810639

Zhengyuan Lin

Publication date: 1992

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

Full work available at URL: https://eudml.org/doc/174394

zbMATH Keywords

weight spacesWeyl modulerational modulesfinite groupJantzen filtrationmodular representationinvariant latticeLoewy lengthadmissible latticeAndersen filtrationcohomology modulefinite-dimensional irreducible \(\mathfrak g\)-modulenatural filtrationsemisimple complex Lie algebrasimply connected Chevalley group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33) Cohomology theory for linear algebraic groups (20G10)

Cites Work

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• On the structure of the higher cohomology modules of line bundles on G/B
• Diagrams for modules
• Filtrations of cohomology modules for Chevalley groups
• On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups
• The submodule structure of tyeyl modules for groups of type a₁
• Representations of Chevalley Groups Arising from Admissible Lattices
• Representations of Chevalley Groups in Characteristic p
• Introduction to Lie Algebras and Representation Theory

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