Journal of Lie Theory

no. 1
Paires Symétriques Orthogonales et Isomorphisme de Rouvière
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 79-87
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].
DOI: 10.5802/jolt.361
Classification: 22E30, 43A85, 17B35
Keywords: symmetric pairs, orbit method, Rouvière formula, generalized Harish-Chandra homomorphism 
@article{JOLT_2005_15_1_a5,
     author = {C. Torossian},
     title = {Paires {Sym\'etriques} {Orthogonales} et {Isomorphisme} de {Rouvi\`ere}},
     journal = {Journal of Lie Theory},
     pages = {79--87},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.361},
     zbl = {1062.22027},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.361/}
}
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C. Torossian. Paires Symétriques Orthogonales et Isomorphisme de Rouvière. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 79-87. doi: 10.5802/jolt.361

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