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hal-00693353, version 1

Multiplicity free spaces with a one dimensional quotient

Hubert Rubenthaler () 1

(02/05/2012)

Résumé : The multiplicity free spaces with a one dimensional quotient were introduced by Thierry Levasseur in [11]. Recently, the author has shown that the algebra of differential operators on such spaces which are invariant under the semi-simple part of the group is a Smith algebra ([17]). We give here the classification of these spaces which are indecomposable, up to geometric equivalence. We also investigate whether or not these spaces are regular or of parabolic type as a prehomogeneous vector space.

  • 1 :  Institut de Recherche Mathématique Avancée (IRMA)
  • CNRS : UMR7501 – Université de Strasbourg
  • Domaine : Mathématiques/Théorie des représentations
  • Mots-clés : multiplicity free spaces – prehomogeneous vector spaces
  • Commentaire : 24 pages
 
  • hal-00693353, version 1
  • http://hal.archives-ouvertes.fr/hal-00693353
  • oai:hal.archives-ouvertes.fr:hal-00693353
  • Contributeur : Hubert Rubenthaler <>
  • Soumis le : Mercredi 2 Mai 2012, 15:07:48
  • Dernière modification le : Jeudi 3 Mai 2012, 08:53:52