Sur le caractère de la représentation de Shale-Weil de Mp(n,R) et Sp(n,C)

DOI10.1007/BF01420212zbMath0452.22015MaRDI QIDQ1148400

Pierre Torasso

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163445

zbMATH Keywords

Heisenberg grouppolarizationsmetaplectic groupirreducible unitary representationShale-Weil representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (6)

Character of the oscillator representation ⋮ Transfer of orbital integrals between \(\text{Mp}(2n{\mathbb{R}})\) and \(\text{SO}(n+1)\) ⋮ Unnamed Item ⋮ Oscillator representations for orthosymplectic algebras ⋮ The character of the metaplectic representation and the character formula for certain representations of an almost algebraic Lie group over a \(p\)-adic field ⋮ Projection d'orbites, formule de Kirillov et formule de Blattner

Cites Work

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• Reducibility of generalized principal series representations
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• On the Segal-Shale-Weil representations and harmonic polynomials
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Irreducible characters of semisimple Lie groups. I
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• On the Character of Weil's Representation

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