This article is cited in 24 papers

Tensor products of unitary representations of the three-dimensional Lorentz group

V. F. Molchanov


Abstract: The author obtains a decomposition into irreducible representations of the tensor product of any two irreducible unitary representations of the group $SO_0(1,2)$. An explicit construction of this decomposition is given, and the corresponding Plancherel measure is found.
Bibliography: 13 titles.

UDC: 513.8

MSC: Primary 22E43; Secondary 22E45

Received: 25.09.1978

 English version: Mathematics of the USSR-Izvestiya, 1980, 15:1, 113–143

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