Extensions between simple modules for Frobenius kernels

DOI10.1007/BF02571404zbMath0810.20035OpenAlexW2087257066MaRDI QIDQ1183077

Zhengyuan Lin

Publication date: 28 June 1992

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

Full work available at URL: https://eudml.org/doc/174285

zbMATH Keywords

socle seriesWeyl modulessimple modulesFrobenius kernels\(p\)-singular highest weightconnected semisimple group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (5)

Extensions of simple modules for the algebraic group of type G² ⋮ On Donkin’s tilting module conjecture I: lowering the prime ⋮ A new approach to the Koszul property in representation theory using graded subalgebras ⋮ Highest weight modules for algebraic groups arising from quantum groups ⋮ Modular representations of simple Lie algebras

Cites Work

• Unnamed Item
• Structure of cohomology of line bundles on G/B for semisimple groups
• 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
• On the structure of the cohomology of line bundles on G/B
• Cohomology of line bundles on G/B for the exceptional group \(G_ 2\)
• Extensions of Simple Modules for the Group Sp (4, K )
• Extensions of Modules for Algebraic Groups
• On the inverse Kazhdan-Lusztig polynomials for affine Weyl groups.
• Loewy Series of Modules for the First Frobenius Kernel in a Reductive Algebraic Group

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