The local structure theorem for real spherical varieties
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Publication:3463486
DOI10.1112/S0010437X15007307zbMath1343.14042arXiv1310.6390OpenAlexW3105220540MaRDI QIDQ3463486
Bernhard Krötz, Henrik Schlichtkrull, Friedrich Knop
Publication date: 14 January 2016
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.6390
Homogeneous spaces and generalizations (14M17) Homogeneous spaces (22F30) Group actions on varieties or schemes (quotients) (14L30) Compactifications; symmetric and spherical varieties (14M27)
Related Items (14)
Volume growth, temperedness and integrability of matrix coefficients on a real spherical space ⋮ Representation theory and analysis of reductive groups: spherical spaces and Hecke algebras. Abstracts from the workshop held January 19--25, 2014. ⋮ Classification of reductive real spherical pairs. I: The simple case ⋮ On the little Weyl group of a real spherical space ⋮ Symmetry breaking operators for strongly spherical reductive pairs ⋮ The infinitesimal characters of discrete series for real spherical spaces ⋮ Harmonic analysis for real spherical spaces ⋮ Geometric counting on wavefront real spherical spaces ⋮ Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms ⋮ Multiplicity bounds and the subrepresentation theorem for real spherical spaces ⋮ Classification of reductive real spherical pairs. II: The semisimple case ⋮ Classification of spherical algebraic subalgebras of real simple Lie algebras of rank 1 ⋮ Partial Poisson transforms on \(SU(n, n)/SL(n, \mathbb{C}) \times \mathbb{R}_+^\ast\) ⋮ Simple compactifications and polar decomposition of homogeneous real spherical spaces
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