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On Racah operators

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Functional Analysis and Its Applications Aims and scope

Abstract

As a generalization of the well-known Racah coefficients (defined for finite-dimensional representations of semisimple Lie groups), we introduce the notion of Racah operators for locally compact groups with “nice” dual space. In the case of the group PSL(2,ℂ), these operators are explicitly indicated.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 40, No. 3, pp. 69–72, 2006

Original Russian Text Copyright © by R. S. Ismagilov

Supported by RFBR grant 05-01-0001.

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Ismagilov, R.S. On Racah operators. Funct Anal Its Appl 40, 222–224 (2006). https://doi.org/10.1007/s10688-006-0034-z

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  • DOI: https://doi.org/10.1007/s10688-006-0034-z

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