Whittaker vectors and associated varieties

DOI10.1007/BF01404678zbMath0633.17006MaRDI QIDQ1096000

Hisayosi Matumoto

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143478

zbMATH Keywords

semisimple Lie algebraalgebraic Whittaker vector

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

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Cites Work

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• Whittaker models for real groups
• Whittaker vectors and conical vectors
• Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• On Whittaker vectors and representation theory
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Fonctions de Whittaker associées aux groupes de Chevalley
• On Whittaker vectors for generalized Gelfand-Graev representations of semisimple Lie groups