The cohomology of line bundles on the three-dimensional flag variety

DOI10.1016/j.jalgebra.2006.04.039zbMath1115.14008OpenAlexW2062858693MaRDI QIDQ865473

Stephen Donkin

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.04.039

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (9)

On certain tilting modules for \(\mathrm{SL}_{2}\) ⋮ Representation theory via cohomology of line bundles ⋮ Cohomology of line bundles on the incidence correspondence ⋮ Support varieties of line bundle cohomology groups for \(SL_3(k)\). ⋮ On the cohomology of certain homogeneous vector bundles of \(G/B\) in characteristic zero. ⋮ Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups ⋮ On the cohomology of certain rank 2 vector bundles on \(G/B\) ⋮ A Tensor Product Factorization for Certain Tilting Modules ⋮ A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\).

Cites Work

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• Cohomology of flag varieties in characteristic p
• The first cohomology group of a line bundle on G/B
• Rational representations of algebraic groups: Tensor products and filtrations
• Rational and generic cohomology
• Ordinary and modular representations of Chevalley groups
• On tilting modules for algebraic groups
• A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\).
• Modular representations of classical Lie algebras and semi-simple groups
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Introduction to Lie Algebras and Representation Theory

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