The Kashiwara-Vergne conjecture
Charles Torossian (IMJ)
TL;DR
This paper discusses the Kashiwara-Vergne conjecture related to the Baker-Campbell-Hausdorff series, reviewing prior results and explaining Alekseev-Meinrenken's proof within a Bourbaki seminar context.
Contribution
It provides an exposition of the combinatorial Kashiwara-Vergne conjecture and details Alekseev-Meinrenken's proof, clarifying its significance in Lie theory.
Findings
Confirmation of the conjecture's validity
Connection to previous results in Lie algebra theory
Explanation of the proof's key ideas
Abstract
This is a Bourbaki's seminar text. We introduce the combinatorial Kashiwara-Vergne conjecture on the Baker-Campbell-Hausdorff serie. After recalling previous results and consequences, we explain the Alekseev-Meinrenken's proof [math.QA/0506499]
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models