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Separation of unitary representations of certain Cartan motion groups


Abstract


Let G be a connected semisimple Lie group with nite center, K a maximal compact connected subgroup of G and G0 the Cartan motion group associated to the Riemannian symmetric pair (G;K). Under two assumptions on the pair (G;K), we show that every irreducible unitary representation of G0 is characterized by a single element in its generalized moment set.

DOI Code: 10.1285/i15900932v35n1p15

Keywords: Cartan motion group; unitary representation; moment set

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