Modular symmetric functions and irreducible modular representations of general linear groups

DOI10.1016/0022-4049(92)90007-3zbMath0804.20034OpenAlexW2007525926MaRDI QIDQ1207516

Stephen R. Doty, Grant Walker

Publication date: 1 April 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90007-3

zbMATH Keywords

general linear groupstensor productsWeyl modulesirreducible modular representationsclassical symmetric functionsdominant weight spacessimple reductive algebraic grouptruncated coordinate ring

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (15)

On signed multiplicities of Schur expansions surrounding Petrie symmetric functions ⋮ A generic algebra associated to certain Hecke algebras. ⋮ A note on the adjoint action of a semisimple group on the coordinate algebra of an infinitesimal subgroup ⋮ New modular symmetric function and its applications: modular \(s\)-Stirling numbers ⋮ Resolutions of \(B\) modules ⋮ Permanents, Doty coalgebras and dominant dimension of Schur algebras ⋮ A proof of Schwartz's conjecture about the eigenvalues of Lannes' \(T\)-functor ⋮ Truncated symmetric powers and modular representations of GL_n ⋮ On the cohomology of Young modules for the symmetric group. ⋮ Modular Schur Functions ⋮ On the decomposition map for symmetric groups. ⋮ Highest weights, projective geometry, and the classical limit. I: Geometrical aspects and the classical limit ⋮ Some remarks on Gill's theorems on Young modules. ⋮ Petrie symmetric functions ⋮ On tilting modules for algebraic groups

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• The Morava K-Theories of Some Classifying Spaces
• Stable decompositions of classifying spaces of finite abelianp-groups

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