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The Kashiwara-Vergne Method for Lie Groups

  • François Rouvière
Chapter
  • 833 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 2115)

Abstract

In this chapter we motivate and explain the “Kashiwara-Vergne conjecture” for a Lie algebra and its application to analysis on the corresponding Lie group (transfer of convolution of invariant distributions, Duflo isomorphism). We prove the conjecture in two important special cases (quadratic and solvable Lie algebras), and give a brief overview of the proof by Alekseev and Torossian in the general case.

Keywords

Local Solvability Tangential Derivation Free Associative Algebra Cyclic Word Cocycle Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • François Rouvière
    • 1
  1. 1.Laboratoire J. A. DieudonnéUMR 7351 CNRS Université de Nice - Sophia AntipolisParc ValroseFrance

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