Kashiwara-Vergne-Rouviere methods for symmetric spaces

2002/02/21 by Charles Torossian, Torossian, Charles
Economics, Econometrics and Finance · Mathematics · #17B #17B25 #22E #53C35 #53D55 #FOS: Mathematics #Functional Equations Stability Results #Mathematical and Theoretical Analysis #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Stochastic processes and financial applications #math.QA #math.RT #msc:17B #msc:17B25 #msc:22E #msc:53C35 #msc:53D55

paper · pdf · doi:10.48550/arxiv.math/0202217

21 pages, 10 figures (erreurs typographiques corrigees + des rappels sur la quantification de M. Kontsevich)

openalex publication_date 2002/02/21 · arxiv created 2002/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article follows our previous work on Campbell-Hausdorff formula. We study the case of symmetric spaces. We recover, by using a Kontsevich's deformation of the Baker-Campbell-Hausdorff formula, Rouviere's results on the convolution of invariant distributions, for solvable symmetric spaces and "very symmetric spaces".

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