$C^{-\infty}$-Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

DOI10.24033/asens.1605zbMath0760.22017OpenAlexW2463759969WikidataQ115228368 ScholiaQ115228368MaRDI QIDQ4713001

Hisayosi Matumoto

Publication date: 25 June 1992

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1990_4_23_2_311_0

zbMATH Keywords

harmonic polynomialsdimension functionintertwining operatorswave front setRichardson orbitirreducible admissible representationGoldie rank polynomialcomplex linear semisimple groupcontinuous Whittaker vectors

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

Generalized and degenerate Whittaker models, Unnamed Item, On the non-vanishing of theta liftings of tempered representations of \(U(p,q)\)

Cites Work

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