Socle series of cohomology groups of line bundles on \(G/B\)

DOI10.1016/0022-4049(91)90066-BzbMath0758.20008OpenAlexW1991735959MaRDI QIDQ1176696

Zhengyuan Lin

Publication date: 25 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90066-b

zbMATH Keywords

cohomology groupssocle seriesflag manifoldrepresentationsirreducible charactersmultiplicitiesline bundlesLusztig conjecturesemi-simple algebraic groupsum formula\(G\)-modulesHumphreys cancellation principleJantzen-type filtrations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (4)

Loewy series for principal series representations of finite Chevalley groups ⋮ Representation theory via cohomology of line bundles ⋮ Highest weight modules for algebraic groups arising from quantum groups ⋮ A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\).

Cites Work

• Unnamed Item
• Unnamed Item
• Structure of cohomology of line bundles on G/B for semisimple groups
• Jantzen's filtrations of Weyl modules
• An inversion formula for the Kazhdan-Lusztig polynomials for affine Weyl groups
• Cohomology of G/B in characteristic p
• On the structure of the higher cohomology modules of line bundles on G/B
• The Euler character and cancellation theorems for Weyl modules
• Translation and cancellation of socle series patterns
• Character formulas and Frobenius subgroups of algebraic groups
• Hecke algebras and Jantzen's generic decomposition patterns
• Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren
• Cohomology of line bundles on G/B for the exceptional group \(G_ 2\)
• Filtrations of cohomology modules for Chevalley groups
• Extensions of Modules for Algebraic Groups
• On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups
• On the inverse Kazhdan-Lusztig polynomials for affine Weyl groups.
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• Loewy Series of Modules for the First Frobenius Kernel in a Reductive Algebraic Group

This page was built for publication: Socle series of cohomology groups of line bundles on \(G/B\)