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Journal of Lie Theory 15 (2005), No. 1, 079--087
Copyright Heldermann Verlag 2005

Paires Symétriques Orthogonales et Isomorphisme de Rouvière

Charles Torossian
Dép. de Mathématique et Application, UMR 8553 du CNRS, Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France

In a recent work A. Alekseev and E. Meinrenken [arXiv: math. RT/0308135] proved that for quadratic symmetric pairs with anti-invariant bilineaire form, Rouvière's formula is still valid by using a deformation of the Weyl algebra. We recover this result by using the orbit method in Lie theory and our generalized Harish-Chandra homomorphism [J. Functional Anal. 117 (1993) 118--173 and 173--214, Bull. Soc. Math. France 126 (1998) 295--354].

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