Tensor products for the de Sitter group

Author:

Martin Robert P.

Abstract

The decomposition of the tensor product of a principal series representation with any other irreducible unitary representation of G G is determined for the simply connected double covering, G = Spin ( 4 , 1 ) G = \operatorname {Spin}\,(4,1) , of the DeSitter group.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

1. Restriction of the principal series of 𝑆𝐿(𝑛,𝐶) to some reductive subgroups;Nguyen Huu Anh;Pacific J. Math.,1971

2. The group 𝐶*-algebra of the de Sitter group;Boyer, Robert;Proc. Amer. Math. Soc.,1977

3. A. Breda, Uniformly bounded representations of the Lorentz groups, Ph.D. Dissertation, Washington University, 1982.

4. Représentations intégrables du groupe de De Sitter;Dixmier, Jacques;Bull. Soc. Math. France,1961

5. V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova and I. T. Todorov, Harmonic analysis on the 𝑛-dimensional Lorentz group and its application to conformal quantum field theory, Lecture Notes in Phys., Vol. 63, Springer-Verlag, Berlin, Heidelberg and New York, 1977.

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