Lusztig correspondence and Howe correspondence for finite reductive dual pairs

DOI10.1007/s00208-024-02870-4MaRDI QIDQ6624847

Shu-Yen Pan

Publication date: 28 October 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

classical groupreductive dual pairsHowe correspondenceWeil characterLusztig correspondence

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33)

Cites Work

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• Representations of reductive groups over finite fields
• Weil representations associated to finite fields
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• Weil representations of finite classical groups
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• Howe correspondence for reductive groups over finite fields
• Uniform projection of the Weil character
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Unipotent Characters of the Even Orthogonal Groups over a Finite Field
• Unipotent Representations and Reductive Dual Pairs over Finite Fields
• Une conjecture de Lusztig pour les groupes classiques
• Representations of Finite Groups of Lie Type
• The Character Theory of Finite Groups of Lie Type
• Weil representations of finite symplectic groups and finite odd-dimensional orthogonal groups
• On the Unicity and the Ambiguity of Lusztig Parametrizations for Finite Classical Groups

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