On universal Lie nilpotent associative algebras

We study the quotient Qi(A) of a free algebra A by the ideal Mi (A) generated by the i th commutator of any elements. In particular, we completely describe such quotient for i=4 (for i 3 this was done previously by Feigin and Shoikhet). We also study properties of the ideals Mi(A), e.g. when Mi(A...

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Bibliographic Details
Main Authors: Etingof, Pavel I., Kim, John, Ma, Xiaoguang
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Elsevier B.V. 2015
Online Access:http://hdl.handle.net/1721.1/96327
https://orcid.org/0000-0002-0710-1416