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Sur les représentations mixtes des groupes de Lie résolubles exponentiels
Baklouti, A.
Ghorbel, A.
Hamrouni, H.

Data: 2002
Resum: Let G be an exponential solvable Lie group, H and A two closed connected subgroups of G and [sigma] a unitary and irreducible representation of H. We prove the orbital spectrum formula of the Up-Down representation [rho](G,H, A, [sigma]) = IndGH [sigma] $A . 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 G is exponential solvable Lie group, H and A are invariant.
Drets: Tots els drets reservats.
Llengua: Francès.
Document: Article ; recerca ; article ; publishedVersion
Publicat a: Publicacions matematiques, V. 46 N. 1 (2002) , p. 179-1999, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_46102_10

21 p, 218.5 KB

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