On the structure of Weyl modules

DOI10.1080/00927878408823126zbMath0546.20036OpenAlexW1969635045MaRDI QIDQ5896429

James E. Humphreys

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823126

zbMATH Keywords

tensor productsWeyl modulessemisimple algebraic groupscharacteristic p

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items

On modules arising from quantum groups at \(p^r\)-th roots of unity ⋮ Character formulas and Frobenius subgroups of algebraic groups ⋮ On the alcove identification operator of semisimple algebraic groups ⋮ On sheaf cohomology for supergroups arising from simple classical Lie superalgebras ⋮ On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups ⋮ Decomposition numbers for distant Weyl modules ⋮ On the second socle level of induced modules for algebraic groups ⋮ Highest weight modules for algebraic groups arising from quantum groups ⋮ Structure of cohomology modules of linear bundles over \(G/B\) ⋮ Seshadri stratification for Schubert varieties and standard monomial theory

Cites Work

• Rational representations of algebraic groups: Tensor products and filtrations
• Cohomology, hyperalgebras, and representations
• Sheaf cohomology on G/B and tensor products of Weyl modules
• On the structure of the cohomology of line bundles on G/B
• Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren
• The submodule structure of tyeyl modules for groups of type a₁
• On Ext¹ for semisimple groups and infinitesimal subgroups
• On the structure of Weyl modules

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