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Displaying similar documents to “Représentations unitaires des groupes de Lie résolubles”

Sur les représentations mixtes des groupes de Lie résolubles exponentiels.

Ali Baklouti, Amira Ghorbel, Hatem Hamrouni (2002)

Publicacions Matemàtiques

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Let G be an exponential solvable Lie group, H and A two closed connected subgroups of G and σ a unitary and irreducible representation of H. We prove the orbital spectrum formula of the Up-Down representation ρ(G, H, A, σ) = Ind σ. When G is nilpotent, the multiplicities of such representation turns out to be uniformly infinite or finite and bounded. A necessary and sufficient condition for the finiteness of the multiplicities is given. The same results are obtained when...