A Character formula for B-modules

DOI10.1080/00927879208824366zbMath0790.20062OpenAlexW2055721541MaRDI QIDQ3989106

David C. Vella

Publication date: 28 June 1992

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824366

zbMATH Keywords

root systemBorel subgroupreductive algebraic grouprational cohomologyWeyl's character formulairreducible \(G\)-moduleformal character

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)

Cites Work

• Homogeneous vector bundles
• Rational and generic cohomology
• A very simple proof of Bott's theorem
• Lie algebra cohomology and the generalized Borel-Weil theorem

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