A Description of Discrete Series for Semisimple Symmetric Spaces II

Toshihiko Matsuki

Type: Book-Chapter

Publication Date: 1988-01-01

Citations: 3

DOI: https://doi.org/10.1016/b978-0-12-525100-6.50023-0

Abstract

This chapter describes the discrete series for semisimple symmetric spaces II. [OMl] constructed Harish-Chandra modules Bλj 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 module Bλj is nontrivial. The chapter presents the results that also cover limits of discrete series for G/H. It also presents a certain simplification of the proof of a main result in [OMl].

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