On the cohomology of certain homogeneous vector bundles of \(G/B\) in characteristic zero.

DOI10.1016/J.JPAA.2011.10.033zbMath1293.20043arXiv1011.5769OpenAlexW2022630820MaRDI QIDQ436100

M. Fazeel Anwar

Publication date: 30 July 2012

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

Full work available at URL: https://arxiv.org/abs/1011.5769

zbMATH Keywords

Borel-Weil-Bott theoremcohomology of vector bundles

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (1)

On the cohomology of certain rank 2 vector bundles on \(G/B\)

Cites Work

• Unnamed Item
• The cohomology of line bundles on the three-dimensional flag variety
• Rational representations of algebraic groups: Tensor products and filtrations
• A very simple proof of Bott's theorem
• A Tensor Product Factorization for Certain Tilting Modules

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