Decomposition of tensor products of irreducible unitary representations
Abstract: It is shown that the tensor product of an irreducible unitary representation of a (discrete) group and an -dimensional unitary representation of decomposes into at most irreducible subrepresentations; the multiplicity of each irreducible constituent is not greater than . As an application it is shown that the restriction of an irreducible unitary representation to a subgroup of finite index is a finite sum of irreducible subrepresentations.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22D10
Retrieve articles in all journals with MSC: 22D10
Keywords: Irreducible unitary representations of groups, tensor products of representations, intertwining operators
Article copyright: © Copyright 1975 American Mathematical Society