On the compatibility between cup products, the Alekseev–Torossian connection and the Kashiwara–Vergne conjecture, I
Year: 2012
Type: article
Abstract: For a finite-dimensional Lie algebra g over a field K ⊃ C , we deduce from the compatibility between cup products (Kontsevich, 2003, [6, Section 8]), on the one hand, and from the Kashiwara–Vergne conjecture (Kashiwara and Vergne, 1978, [4]), on the other hand, alternative ways of re-writing Kontsevich product ⋆ on S ( g ) . In this first part, we fix notation and conventions, revise the main features of Kontsevichʼs star product and examine the Kashiwara–Vergne conjecture and its relationship with Kontsevichʼs star product.
Source: Comptes Rendus Mathématique
Author: Carlo A. Rossi
Institution: Max Planck Institute for Mathematics
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4237672362