Discrete series for an affine symmetric space
WebJul 17, 2024 · Request PDF Branching laws for discrete series of some affine symmetric spaces In this paper we study branching laws for certain unitary representations. This is done on the smooth vectors via ... WebJul 1, 1991 · The Holomorphic Discrete Series of an Affine Symmetric Space and Representations with Reproducing Kernels Authors: Gestur Olafsson Louisiana State University B. Ørsted Abstract Consider a...
Discrete series for an affine symmetric space
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Webe. In mathematics, a symmetric space is a Riemannian manifold (or more generally, a pseudo-Riemannian manifold) whose group of symmetries contains an inversion symmetry about every point. This can be studied with the tools of Riemannian geometry, leading to consequences in the theory of holonomy; or algebraically through Lie theory, which ... WebJul 17, 2024 · Discrete series for semisimple symmetric spaces M. Flensted-jensen Mathematics 1980 We give a sufficient condition for the existence of minimal closed G …
WebTHE HOLOMORPHIC DISCRETE SERIES OF AN AFFINE SYMMETRIC SPACE AND REPRESENTATIONS WITH REPRODUCING KERNELS G. 'OLAFSSON AND B. … WebJun 21, 2024 · Let be an affine symmetric space. We study part of the discrete spectrum of L2(X) for X of Hermitian type, a notion we define in analogy with the group case.
WebFor affine symmetric spaces of Hermitian type we realize certain discrete representations in a natural way on orbits in the tangent space of the origin. The orbits are with respect to … WebJul 1, 2003 · Let G/H be a semisimple symmetric space. Then the space L 2 (G/H) can be decomposed into a finite sum of series of representations induced from parabolic subgroups of G.The most continuous part of the spectrum of L 2 (G/H) is the part induced from the smallest possible parabolic subgroup.In this paper we introduce Hardy spaces …
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WebThe best known and most interesting discrete series represen- tations of G are the holomorphic discrete series representations. As explained above, one of our aims in … the highlander meny bromstenWebLet X= G/H be an atline symmetric space. We study part of the discrete spectrum of L*(X) for X of Hermitian type, a notion we define in analogy with the group case. In particular we tind intertwining operators from the scalar holo- morphic discrete series of G, which is automatically of Hermitian type, into L’(X). the highlander hitchin menuWebSymmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano symmetric varieties with Picard number one admit Kähler–Einstein metrics by using a combinatorial criterion for K-stability of Fano spherical varieties … the highlander luxury countryWebAbstract. Harmonic analysis on homogeneous spaces is a far-reaching generalization of the classical theory of Fourier series and Fourier integrals. It is a branch of functional analysis which is vigorously developing now. The principal contents is closely connected with group representation theory in infinite-dimensional spaces. the highlander newsmagazineWebDiscrete series for an affine symmetric space 55 plex conjugate will be referred to as z or {z}~. For a real vector space, we use the superscriptcin referring to its complexification. We denote the dual space of a vector spaceVby V*. It is a pleasant duty to express my … the highlander marble falls texasWebDiscrete series for an affine symmetric space Shuichi MATSUMOTO (Received July 28, 1980) § 1. Introduction We introduce the four dimensional linear space R4 with the … the highlander newspaper marble falls txWebJan 1, 1988 · This chapter describes the discrete series for semisimple symmetric spaces II. [OMl] constructed Harish-Chandra modules B λ j that parametrize all the discrete series for G/H, where j runs through finite indices and λ runs through lattice points contained in a positive Weyl chamber. It explains a necessary condition for j and λ so that the … the highlander hotel - iowa city coralville