Multiplicity free spaces with a one dimensional quotient
| Autor: | Rubenthaler, Hubert |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Journal of Lie Theory 23, 2 (2013) 433-458 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 24 pages |
| Databáze: | arXiv |
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