A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\).

DOI10.1016/S0021-8693(02)00512-4zbMath1083.14521OpenAlexW2009944547MaRDI QIDQ1858278

Stephen Donkin

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00512-4

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Cohomology theory for linear algebraic groups (20G10)

Related Items (2)

The cohomology of line bundles on the three-dimensional flag variety ⋮ The Steinberg quotient of a tilting character

Cites Work

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• Cohomology of flag varieties in characteristic p
• Structure of cohomology of line bundles on G/B for semisimple groups
• The cohomology of line bundles on the three-dimensional flag variety
• Rational representations of algebraic groups: Tensor products and filtrations
• Cohomology of G/B in characteristic p
• Socle series of cohomology groups of line bundles on \(G/B\)
• On tilting modules for algebraic groups
• Representations of quantum algebras
• Cohomology of line bundles on $G/B$
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• A note on the characters of the projective modules for the infinitesimal subgroups of a semisimple algebraic group.
• Injective Modules for Quantum Algebras

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