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Article Dans Une Revue Annales Scientifiques de l'École Normale Supérieure Année : 2003

Spin_c quantization and the K-multiplicities of the discrete series

Paul-Emile Paradan

Résumé

In this paper we show that the `quantization commutes with reduction' principle of Guillemin-Sternberg holds for the coadjoint orbits that parametrize the discrete series of a real connected semi-simple Lie group.

Dates et versions

hal-00127053 , version 1 (28-01-2007)

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Citer

Paul-Emile Paradan. Spin_c quantization and the K-multiplicities of the discrete series. Annales Scientifiques de l'École Normale Supérieure, 2003, 36, pp.805-845. ⟨hal-00127053⟩

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