Dans une Note antérieure, le premier auteur a donné une formule locale explicite pour les intégrales orbitales semi-simples associées au Casimir. Dans cette Note, nous étendons cette formule à tous les éléments du centre de l'algèbre enveloppante de l'algèbre de Lie considérée.
In a previous Note, the first author has established an explicit local formula for semi-simple orbital integrals associated with the Casimir. In this Note, we extend the formula to all elements of the center of the Lie algebra.
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Publié le :
Jean-Michel Bismut 1 ; Shu Shen 2
@article{CRMATH_2019__357_11-12_897_0, author = {Jean-Michel Bismut and Shu Shen}, title = {Int\'egrales orbitales semi-simples et centre de l'alg\`ebre enveloppante}, journal = {Comptes Rendus. Math\'ematique}, pages = {897--906}, publisher = {Elsevier}, volume = {357}, number = {11-12}, year = {2019}, doi = {10.1016/j.crma.2019.11.001}, language = {fr}, }
Jean-Michel Bismut; Shu Shen. Intégrales orbitales semi-simples et centre de l'algèbre enveloppante. Comptes Rendus. Mathématique, Volume 357 (2019) no. 11-12, pp. 897-906. doi : 10.1016/j.crma.2019.11.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.11.001/
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