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Sbornik: Mathematics, 2007, Volume 198, Issue 3, Pages 369–381
DOI: https://doi.org/10.1070/SM2007v198n03ABEH003840 (Mi sm1532) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Racah operators for principal series of representations of the group $\mathrm {SL}(2,\mathbb C)$

R. S. Ismagilov

N. E. Bauman Moscow State Technical University
English version PDF (268 kB) Citations (18)
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DOI: https://doi.org/10.1070/SM2007v198n03ABEH003840
Abstract: As a generalization of the well-known Racah coefficients (which are usually defined for finite-dimensional representations of semisimple Lie groups), the concept of Racah operators is introduced for locally compact groups with a ‘nice’ dual space. Explicit expressions for these operators are presented for $\operatorname{PSL}(2,\mathbb C)$.
Bibliography: 8 titles.
Received: 17.02.2006 and 30.10.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 3, Pages 77–90
DOI: https://doi.org/10.4213/sm1532
Bibliographic databases:
UDC: 517.986.6
MSC: Primary 22E46; Secondary 33C80
Language: English
Original paper language: Russian
Citation: R. S. Ismagilov, “Racah operators for principal series of representations of the group $\mathrm {SL}(2,\mathbb C)$”, Mat. Sb., 198:3 (2007), 77–90; Sb. Math., 198:3 (2007), 369–381
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:538
    Russian version PDF:240
    English version PDF:11
    References:51
    First page:12
     
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