Extremal unipotent representations for the finite Howe correspondence

DOI10.1016/J.JALGEBRA.2019.05.046zbMath1443.20011arXiv1708.02823OpenAlexW2954797299WikidataQ127551159 ScholiaQ127551159MaRDI QIDQ2315002

Jesua Epequin Chavez

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1708.02823

zbMATH Keywords

symplectic groupWeyl groupsreductive dual pairHowe correspondenceHarish-Chandra seriescuspidal unipotent representationsrepresentation theory of finite groups of Lie type

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (2)

Weak cuspidality and the Howe correspondence ⋮ Remarks on the theta correspondence over finite fields

Cites Work

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• Brauer trees in classical groups
• Orbit closures in the enhanced nilpotent cone
• Howe correspondences on a \(p\)-adic field
• Induced cuspidal representations and generalised Hecke rings
• Green polynomials and singularities of unipotent classes
• Weil representations associated to finite fields
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A note on Harish-Chandra induction
• Howe correspondence for reductive groups over finite fields
• Transcending Classical Invariant Theory
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Unipotent Representations and Reductive Dual Pairs over Finite Fields

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