Translation and cancellation of socle series patterns

DOI10.2748/tmj/1178227927zbMath0668.20034OpenAlexW2061424985MaRDI QIDQ1118036

Yuanhuai Bai, Kexin Wen, Jian-Pan Wang

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227927

zbMATH Keywords

socle seriesWeyl modulesmultiplicitiesinductioninduced modulesBorel subgroupFrobenius kernelsemi simple algebraic group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (3)

Socle series of cohomology groups of line bundles on \(G/B\) ⋮ Extensions between simple modules for Frobenius kernels ⋮ Structure of cohomology of line bundles on G/B for semisimple groups

Cites Work

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• The first cohomology group of a line bundle on G/B
• Jantzen's filtrations of Weyl modules
• On the structure of the higher cohomology modules of line bundles on G/B
• On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups
• The strong linkage principle.
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.

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