Harish-Chandra series of modules and modular Howe correspondence

DOI10.1006/jabr.1994.1132zbMath0851.20047OpenAlexW2017776044MaRDI QIDQ1327059

Anne-Marie Aubert

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1132

zbMATH Keywords

Weil representationsreductive algebraic groupsFrobenius reciprocityGreen ringscuspidal modulesLevi componentsHarish-Chandra seriesinduction and restriction functorsirreducible reductive dual pairsmodular Howe correspondencerational Levi subgroupsrational parabolic subgroupssimple cuspidal modules

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) (p)-adic representations of finite groups (20C11) Representations of finite groups of Lie type (20C33) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items

Representations and quasi-characters of level \(0\); endoscopy