Principal nilpotent orbits and reducible principal series

DOI10.1090/S1088-4165-02-00132-2zbMath0997.22012MaRDI QIDQ4547425

Wentang Kuo

Publication date: 21 August 2002

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nilpotent orbitBorel subgroupsplit reductive \(p\)-adic groupunitary principal series representationprincipal nilpotent orbit

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• The local structure of characters
• On the decomposition of reducible principal series representations of p- adic Chevalley groups
• Irreducible constituents of principal series of \(SL_ n(\)k)
• L-indistinguishability and R groups for the special linear group
• Gelfand-Kirillov dimension for Harish-Chandra modules
• On Whittaker vectors and representation theory
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Special functions on locally compact fields
• Reductive groups over a local field
• $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension
• Artin $L$-functions and normalization of intertwining operators
• On Certain L-Functions
• Commutativity of intertwining operators. II
• Commutativity of intertwining operators