Moscow Mathematical Journal

Volume 14, Issue 3, July–September 2014 pp. 565–576.

Racah Operators for Unitary Representations of Groups

Authors: R.S. Ismagilov (1)
Author institution:(1) Bauman Moscow State Technical University, 2 Baumanskaya ul. 5, Moscow 107005, Russia

Summary:

We define Racah operators for unitary representations of groups as a modification of classical Racah coefficients. These operators are explicitly calculated in the case of the motion group of four-dimensional Euclidean space. It turns out that they are related to the geometry of 4-gons in this space.

2010 Mathematics Subject Classification. 20C99.

Keywords: Groups, representations, Racah operators, quadruples.

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