Sur les représentations mixtes des groupes de Lie résolubles exponentiels
Baklouti, Ali (Faculté des Sciences de Sfax (Tunísia). Département de Mathématiques)
Ghorbel, Amira (Faculté des Sciences de Sfax (Tunísia). Département de Mathématiques)
Hamrouni, Hatem (Faculté des Sciences de Sfax (Tunísia). Département de Mathématiques)
Date: |
2002 |
Abstract: |
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. |
Rights: |
Tots els drets reservats. |
Language: |
Francès |
Document: |
Article ; recerca ; Versió publicada |
Published in: |
Publicacions matemàtiques, V. 46 N. 1 (2002) , p. 179-1999, ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38050
DOI: 10.5565/PUBLMAT_46102_10
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Record created 2006-03-13, last modified 2022-02-20