Weil representation. I. Intertwining distributions and discrete spectrum

DOI10.1090/memo/0231zbMath0442.22006OpenAlexW2029923069MaRDI QIDQ3884322

Gérard Schiffmann, Stephen Rallis

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1090/memo/0231

zbMATH Keywords

Weil representationmetaplectic groupparabolic subgroupWhittaker modelsnondegenerate quadratic formintertwining maps

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Research exposition (monographs, survey articles) pertaining to topological groups (22-02)

Related Items (14)

Unnamed Item ⋮ Unitary representations defined by boundary conditions - the case of sl(2,R) ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ On the Discrete Series of Generalized Stiefel Manifolds ⋮ Discrete spectrum of the reductive dual pair \((\mathrm{O}(p,q),\mathrm{Sp}(2m))\) ⋮ On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\) ⋮ On Base Change for Odd Orthogonal Groups ⋮ On the role of the Heisenberg group in harmonic analysis ⋮ The first term identities for Eisenstein series ⋮ The Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞) ⋮ Unnamed Item ⋮ Bounds on smooth matrix coefficients on \(L^{2}\)-spaces ⋮ Construction of Cohomology of Discrete Groups ⋮ (𝔤,K)-module of O(p,q) associated with the finite-dimensional representation of 𝔰𝔩2

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