A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group

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Standard

A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group. / Schlichtkrull, Henrik.

In: Inventiones Mathematicae, Vol. 68, No. 3, 10.1982, p. 497-516.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Schlichtkrull, H 1982, 'A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group', Inventiones Mathematicae, vol. 68, no. 3, pp. 497-516. https://doi.org/10.1007/BF01389414

APA

Schlichtkrull, H. (1982). A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group. Inventiones Mathematicae, 68(3), 497-516. https://doi.org/10.1007/BF01389414

Vancouver

Schlichtkrull H. A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group. Inventiones Mathematicae. 1982 Oct;68(3):497-516. https://doi.org/10.1007/BF01389414

Author

Schlichtkrull, Henrik. / A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group. In: Inventiones Mathematicae. 1982 ; Vol. 68, No. 3. pp. 497-516.

Bibtex

@article{cb33fb39353b416d9336b56668c943b1,
title = "A series of unitary irreducible representations induced from a symmetric subgroup of a semisimple Lie group",
abstract = "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.",
author = "Henrik Schlichtkrull",
year = "1982",
month = oct,
doi = "10.1007/BF01389414",
language = "English",
volume = "68",
pages = "497--516",
journal = "Inventiones Mathematicae",
issn = "0020-9910",
publisher = "Springer",
number = "3",

}

RIS

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