Truncated symmetric powers and modular representations of GLn

DOI10.1017/S0305004100074120zbMath0855.20008MaRDI QIDQ4877657

Stephen R. Doty, Grant Walker

Publication date: 16 September 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Schur functionsgeneral linear groupscharacterssimple modulesmodular representationssymmetric powersnatural modulesimple quotients of Schur modulestensor products of truncated symmetric powers

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

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Cites Work

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• Poincaré series for the occurrence of certain modular representations of GL(n,p) in the symmetric algebra
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• Modular Schur Functions

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