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.
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.
Accepted:
Published online:
@article{CRMATH_2019__357_11-12_897_0, author = {Bismut, Jean-Michel and Shen, Shu}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2019.11.001/} }
TY - JOUR AU - Bismut, Jean-Michel AU - Shen, Shu TI - Intégrales orbitales semi-simples et centre de l'algèbre enveloppante JO - Comptes Rendus. Mathématique PY - 2019 SP - 897 EP - 906 VL - 357 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2019.11.001/ DO - 10.1016/j.crma.2019.11.001 LA - fr ID - CRMATH_2019__357_11-12_897_0 ER -
%0 Journal Article %A Bismut, Jean-Michel %A Shen, Shu %T Intégrales orbitales semi-simples et centre de l'algèbre enveloppante %J Comptes Rendus. Mathématique %D 2019 %P 897-906 %V 357 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2019.11.001/ %R 10.1016/j.crma.2019.11.001 %G fr %F CRMATH_2019__357_11-12_897_0
Bismut, Jean-Michel; Shen, Shu. 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. http://archive.numdam.org/articles/10.1016/j.crma.2019.11.001/
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