Représentations unitaires des groupes de Lie résolubles
P. Bernat (1970)
Annales de l'I.H.P. Physique théorique
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P. Bernat (1970)
Annales de l'I.H.P. Physique théorique
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A. Guichardet (1987)
Bulletin de la Société Mathématique de France
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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...
Michèle Vergne (1973-1974)
Séminaire Bourbaki
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Alain Guichardet (1975-1976)
Séminaire Bourbaki
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Jacques Carmona (1973)
Recherche Coopérative sur Programme n°25
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Patrick Delorme (1977)
Bulletin de la Société Mathématique de France
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A. Guichardet (1988)
Annales scientifiques de l'École Normale Supérieure
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