A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Let G/H be a semisimple symmetric space. Generalizing results of Flensted-Jensen we give a sufficient condition for the existence of irreducible closed invariant subspaces of the unitary representations of G induced from unitary finite dimensional representations of H. This provides a method of constructing unitary irreducible representations of G, and we show by examples that for some irreducible admissible representations of G, this method exhibits not previously known unitarity.
Originalsprog | Engelsk |
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Tidsskrift | Inventiones Mathematicae |
Vol/bind | 68 |
Udgave nummer | 3 |
Sider (fra-til) | 497-516 |
Antal sider | 20 |
ISSN | 0020-9910 |
DOI | |
Status | Udgivet - okt. 1982 |
ID: 304299453