Kashiwara-Vergne solutions degree by degree

Autor:	Dancso, Zsuzsanna, Halacheva, Iva, Laplante-Anfossi, Guillaume, Robertson, Marcy
Rok vydání:	2023
Předmět:	Mathematics - Quantum Algebra Mathematics - Algebraic Topology 17B01 17B45 57K12
Druh dokumentu:	Working Paper
Popis:	We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which under the Alekseev-Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara-Vergne group is isomorphic to the graded Kashiwara-Vergne Lie algebra. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.20420 Zobrazit plný text záznamu View this record from Arxiv