A vanishing theorem for Schur modules

DOI10.1006/jabr.1994.1126zbMath0802.20037OpenAlexW2042332858MaRDI QIDQ1327052

David J. Woodcock

Publication date: 14 December 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1126

zbMATH Keywords

inductionrestrictionSchur algebrapolynomial representationsbases of Schur modulesfinite dimensional \(k\)-algebraskew partitions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (15)

Resolutions of \(B\) modules ⋮ Borel schur algebras ⋮ Permutation resolutions for Specht modules of Hecke algebras. ⋮ On projective resolutions of simple modules over the Borel subalgebra \(S^+(n,r)\) of the Schur algebra \(S(n,r)\) for \(n\leqslant 3\). ⋮ Equivariant resolutions over Veronese rings ⋮ Permutation resolutions for Specht modules. ⋮ The space of triangles, vanishing theorems, and combinatorics ⋮ Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules. ⋮ A straightening algorithm for row-convex tableaux ⋮ Approaches to resolution of Weyl modules. ⋮ Borel-Weil theorem for configuration varieties and Schur modules ⋮ Characteristic-free resolutions of Weyl and Specht modules. ⋮ Compressed straight tableaux and a distributive lattice of representations ⋮ A smooth space of tetrahedra. ⋮ A combinatorial theorem on the Cartan invariants of the Schur algebra \(S(B^ +)\)

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