Convolution of invariant distributions: Proof of the Kashiwara-Vergne conjecture
Andler, Martin ; Sahi, Siddhartha ; Torossian, Charles
HAL, hal-00689880 / Harvested from HAL
Text on HAL
Consider the Kontsevich $\star$-product on the symmetric algebra of a finite dimensional Lie algebra $\mathfrak g$, regarded as the algebra of distributions with support 0 on $\mathfrak g$. In this paper, we extend this $\star$-product to distributions satisfying an appropriate support condition. As a consequence, we prove a long standing conjecture of Kashiwara-Vergne on the convolution of germs of invariant distributions on the Lie group $G$.
Publié le : 2001-04-08
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00689880,
     author = {Andler, Martin and Sahi, Siddhartha and Torossian, Charles},
     title = {Convolution of invariant distributions: Proof of the Kashiwara-Vergne conjecture},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00689880}
}

Andler, Martin; Sahi, Siddhartha; Torossian, Charles. Convolution of invariant distributions: Proof of the Kashiwara-Vergne conjecture. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00689880/