Longest weight vectors and excellent filtrations
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Publication:1101552
DOI10.1007/BF01161991zbMath0642.20037OpenAlexW2051439111MaRDI QIDQ1101552
Publication date: 1989
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174031
representation theoryBorel subgrouphomological algebraregular functionsconnected simply connected semisimple algebraic groupexcellent filtrationsfiltrations of B modules
Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)
Related Items (21)
Filtrations of $G$-modules ⋮ Resolutions of \(B\) modules ⋮ Schur algebras and global bases: New proofs of old vanishing theorems ⋮ Filtrations of B-modules ⋮ Borel schur algebras ⋮ Exact Borel subalgebras of quasi-hereditary algebras. I. (With an appendix by Leonard Scott) ⋮ A study of Kostant-Kumar modules via Littelmann paths ⋮ Truncation and the induction theorem ⋮ On the first restricted cohomology of a reductive Lie algebra and its Borel subalgebras ⋮ A decomposition theorem for Demazure crystals. ⋮ Extremal tensor products of Demazure crystals ⋮ Strong exact Borel subalgebras of quasi-hereditary algebras and abstract Kazhdan-Lusztig theory ⋮ ON THE SUPPORT VARIETIES FOR DEMAZURE MODULES ⋮ Equivariant perverse sheaves and quasi-hereditary algebras ⋮ Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules. ⋮ Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules ⋮ An approach towards Schubert positivities of polynomials using Kraśkiewicz-Pragacz modules ⋮ Modules with a Demazure flag ⋮ Large Schubert varieties ⋮ Positivity of some intersections in \(K_0(G/B)\) ⋮ Infinitesimal fixed points in modules with good filtration
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