Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space

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Standard

Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space. / Schlichtkrull, Henrik; Stetkær, Henrik.

I: Journal of Functional Analysis, Bind 74, Nr. 2, 10.1987, s. 292-299.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Schlichtkrull, H & Stetkær, H 1987, 'Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space', Journal of Functional Analysis, bind 74, nr. 2, s. 292-299. https://doi.org/10.1016/0022-1236(87)90026-7

APA

Schlichtkrull, H., & Stetkær, H. (1987). Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space. Journal of Functional Analysis, 74(2), 292-299. https://doi.org/10.1016/0022-1236(87)90026-7

Vancouver

Schlichtkrull H, Stetkær H. Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space. Journal of Functional Analysis. 1987 okt.;74(2):292-299. https://doi.org/10.1016/0022-1236(87)90026-7

Author

Schlichtkrull, Henrik ; Stetkær, Henrik. / Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space. I: Journal of Functional Analysis. 1987 ; Bind 74, Nr. 2. s. 292-299.

Bibtex

@article{0d393c3f09fa4e62b8b9b0a7df480b15,
title = "Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space",
abstract = "Let X0 be the tangent space at eH of the reductive symmetric space G H, and let G0 denote the group of affine transformations of X0 generated by the translations and the natural action of H. We show that any joint eigenspace of the G0-invariant differential operators on X0 is scalarly irreducible under the action of G0. This holds in particular for a Riemannian symmetric space of the non-compact type, where G0 is the Cartan motion group.",
author = "Henrik Schlichtkrull and Henrik Stetk{\ae}r",
year = "1987",
month = oct,
doi = "10.1016/0022-1236(87)90026-7",
language = "English",
volume = "74",
pages = "292--299",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "2",

}

RIS

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T1 - Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space

AU - Schlichtkrull, Henrik

AU - Stetkær, Henrik

PY - 1987/10

Y1 - 1987/10

N2 - Let X0 be the tangent space at eH of the reductive symmetric space G H, and let G0 denote the group of affine transformations of X0 generated by the translations and the natural action of H. We show that any joint eigenspace of the G0-invariant differential operators on X0 is scalarly irreducible under the action of G0. This holds in particular for a Riemannian symmetric space of the non-compact type, where G0 is the Cartan motion group.

AB - Let X0 be the tangent space at eH of the reductive symmetric space G H, and let G0 denote the group of affine transformations of X0 generated by the translations and the natural action of H. We show that any joint eigenspace of the G0-invariant differential operators on X0 is scalarly irreducible under the action of G0. This holds in particular for a Riemannian symmetric space of the non-compact type, where G0 is the Cartan motion group.

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U2 - 10.1016/0022-1236(87)90026-7

DO - 10.1016/0022-1236(87)90026-7

M3 - Journal article

AN - SCOPUS:38249035199

VL - 74

SP - 292

EP - 299

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 2

ER -

ID: 304299028