Poisson geometry and the Kashiwara–Vergne conjecture

Anton Alekseev; Eckhard Meinrenken

doi:10.1016/S1631-073X(02)02560-8

Poisson geometry and the Kashiwara–Vergne conjecture
[Géométrie de Poisson et la conjecture de Kashiwara–Vergne]

Anton Alekseev ¹ ; Eckhard Meinrenken ²

¹ University of Geneva, Section of Mathematics, 2-4 rue du Lièvre, 1211 Genève 24, Switzerland
² University of Toronto, Department of Mathematics, 100 St George Street, Toronto, ON M5S3G3, Canada

Comptes Rendus. Mathématique, Volume 335 (2002) no. 9, pp. 723-728.

Abstract (VO)
Résumé

We give a Poisson-geometric proof of the Kashiwara–Vergne conjecture for quadratic Lie algebras, based on the equivariant Moser trick.

Dans cette Note nous présentons une démonstration de la conjecture de Kashiwara–Vergne pour les algèbres de Lie quadratiques en utilisant des idées de la géométrie de Poisson et en particulier le lemme de Moser équivariant.

Reçu le : 2002-08-13
Accepté le : 2002-09-02
Publié le : 2002-10-01

DOI : 10.1016/S1631-073X(02)02560-8

Affiliations des auteurs :

Anton Alekseev ¹ ; Eckhard Meinrenken ²

¹ University of Geneva, Section of Mathematics, 2-4 rue du Lièvre, 1211 Genève 24, Switzerland
² University of Toronto, Department of Mathematics, 100 St George Street, Toronto, ON M5S3G3, Canada

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Anton Alekseev; Eckhard Meinrenken. Poisson geometry and the Kashiwara–Vergne conjecture. Comptes Rendus. Mathématique, Volume 335 (2002) no. 9, pp. 723-728. doi : 10.1016/S1631-073X(02)02560-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02560-8/

Bibliographie
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François Rouvière The Kashiwara-Vergne Method for Lie Groups, Symmetric Spaces and the Kashiwara-Vergne Method, Volume 2115 (2014), p. 1 | DOI:10.1007/978-3-319-09773-2_1
François Rouvière e-Functions and the Campbell-Hausdorff Formula, Symmetric Spaces and the Kashiwara-Vergne Method, Volume 2115 (2014), p. 119 | DOI:10.1007/978-3-319-09773-2_4
François Rouvière Convolution on Homogeneous Spaces, Symmetric Spaces and the Kashiwara-Vergne Method, Volume 2115 (2014), p. 51 | DOI:10.1007/978-3-319-09773-2_2
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Cité par 14 documents. Sources : Crossref, zbMATH

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