scientific article

zbMath0797.22005MaRDI QIDQ3993982

Hisayosi Matumoto

Publication date: 13 August 1992

Full work available at URL: http://www.numdam.org/item?id=CM_1992__82_2_189_0

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zbMATH Keywords

wave front setWhittaker vectorscomplexified Lie algebradistribution characterreal reductive linear Lie groupadmissible unitary character

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (9)

An explicit integral representation of Whittaker functions on \(\text{Sp}(2;\mathbb{R})\) for the large discrete series representations ⋮ Principal nilpotent orbits and reducible principal series ⋮ Generalized and degenerate Whittaker models ⋮ Wave front sets of reductive Lie group representations. III. ⋮ Local theta lifting of generalized Whittaker models associated to nilpotent orbits ⋮ Unnamed Item ⋮ On the non-vanishing of theta liftings of tempered representations of \(U(p,q)\) ⋮ On the composition series of the standard Whittaker $(\mathfrak {g},K)$-modules ⋮ Degenerate principal series and nilpotent invariants

Cites Work

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• The local structure of characters
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• Orbital integrals in reductive groups
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• Erratum : “$C^{-\infty}$-Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations”
• Induced Unipotent Classes
• Finite- and Infinite-Dimensional Representations of Linear Semisimple Groups
• Lie Group Representations on Polynomial Rings
• Fonctions de Whittaker associées aux groupes de Chevalley
• Orbits in a Real Reductive Lie Algebra
• Intégrales d'entrelacement et fonctions de Whittaker
• Orbits and Representations Associated with Symmetric Spaces
• Some Irreducible Representations of Weyl Groups

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