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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 1, Pages 127–147
DOI: https://doi.org/10.1070/SM1987v058n01ABEH003096 (Mi sm1860) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup

N. I. Nessonov
English version PDF (954 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/SM1987v058n01ABEH003096
Abstract: It is proved that a previously known list of indecomposable spherical functions of the group $\mathrm{GL}(\infty)$ that are bilaterally invariant with respect to the unitary subgroup is complete.
Bibliography: 9 titles.
Received: 11.02.1985
Bibliographic databases:
Document Type: Article
UDC: 512
MSC: Primary 22D10; Secondary 22D25, 46L35
Language: English
Original paper language: Russian
Citation: N. I. Nessonov, “A complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup”, Math. USSR-Sb., 58:1 (1987), 127–147
Citation in format AMSBIB
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\by N.~I.~Nessonov
\paper A~complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 1
\pages 127--147
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  • https://www.mathnet.ru/eng/sm/v172/i2/p131
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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