A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group
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A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group. / Schlichtkrull, Henrik.
I: Inventiones Mathematicae, Bind 68, Nr. 3, 10.1982, s. 497-516.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group
AU - Schlichtkrull, Henrik
PY - 1982/10
Y1 - 1982/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000602260&partnerID=8YFLogxK
U2 - 10.1007/BF01389414
DO - 10.1007/BF01389414
M3 - Journal article
AN - SCOPUS:0000602260
VL - 68
SP - 497
EP - 516
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
SN - 0020-9910
IS - 3
ER -
ID: 304299453