Explicit Hilbert spaces for certain unipotent representations. II

From MaRDI portal
Publication:1805888

DOI10.1007/s002220050347zbMath0937.22006arXivmath/9904051OpenAlexW3098257944MaRDI QIDQ1805888

Siddhartha Sahi, Alexander Dvorsky

Publication date: 25 May 2000

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

Full work available at URL: https://arxiv.org/abs/math/9904051




Related Items (20)

Minimal representations of simple real Lie groups of non Hermitian typeSmall automorphic representations and degenerate Whittaker vectorsStructure of internal modules and a formula for the spherical vector of minimal representations.A notion of rank for unitary representations of reductive groups based on Kirillov's orbit methodA superunitary Fock model of the exceptional Lie supergroup \(\mathbb{D}(2, 1; \alpha)\)Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroupsExplicit Hilbert spaces for certain unipotent representations. IIIA Schr\"odinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra $D(2,1;\alpha)$Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transformAnalysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\)Structure of the degenerate principal series on symmetric \(R\)-spaces and small representationsBessel operators on Jordan pairs and small representations of semisimple Lie groupsMinimal representations via Bessel operatorsIntegral formulas for the minimal representation of \(O(p,2\))Small principal series and exceptional duality for two simply laced exceptional groupsThe Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞)Covariant quantization: spectral analysis versus deformation theoryEulerianity of Fourier coefficients of automorphic formsAn exceptional Siegel–Weil formula and poles of the Spin L-function ofBranching laws for small unitary representations of GL(n, ℂ)




This page was built for publication: Explicit Hilbert spaces for certain unipotent representations. II