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)Mj...

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Bibliographic Details
Main Authors: Etingof, Pavel I. (Contributor), Kim, John (Contributor), Ma, Xiaoguang (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Elsevier B.V., 2015-04-02T16:03:58Z.
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