Mixed representations of exponential solvable Lie groups.

Ali Baklouti; Amira Ghorbel; Hatem Hamrouni

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: 1, page 179-199
  • ISSN: 0214-1493

Abstract

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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) = IndHG σ|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.

How to cite

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Baklouti, Ali, Ghorbel, Amira, and Hamrouni, Hatem. "Sur les représentations mixtes des groupes de Lie résolubles exponentiels.." Publicacions Matemàtiques 46.1 (2002): 179-199. <http://eudml.org/doc/41451>.

@article{Baklouti2002,
author = {Baklouti, Ali, Ghorbel, Amira, Hamrouni, Hatem},
journal = {Publicacions Matemàtiques},
keywords = {Grupos de Lie; Representación de grupos; Desintegración; nilpotent Lie group; multiplicity; exponential solvable Lie group; induced representation; orbit method},
language = {fre},
number = {1},
pages = {179-199},
title = {Sur les représentations mixtes des groupes de Lie résolubles exponentiels.},
url = {http://eudml.org/doc/41451},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Baklouti, Ali
AU - Ghorbel, Amira
AU - Hamrouni, Hatem
TI - Sur les représentations mixtes des groupes de Lie résolubles exponentiels.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 1
SP - 179
EP - 199
LA - fre
KW - Grupos de Lie; Representación de grupos; Desintegración; nilpotent Lie group; multiplicity; exponential solvable Lie group; induced representation; orbit method
UR - http://eudml.org/doc/41451
ER -

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