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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)
References:
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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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 130(172), Number 2(6), Pages 131–150
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”, Mat. Sb. (N.S.), 130(172):2(6) (1986), 131–150; Math. USSR-Sb., 58:1 (1987), 127–147
Citation in format AMSBIB
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\yr 1986
\vol 130(172)
\issue 2(6)
\pages 131--150
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\transl
\jour Math. USSR-Sb.
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\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
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:468
    Russian version PDF:130
    English version PDF:8
    References:30
     
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