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96327 |
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|a Etingof, Pavel I.
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Etingof, Pavel I.
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|a Kim, John
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|a Ma, Xiaoguang
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|a Kim, John
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|a Ma, Xiaoguang
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|a On universal Lie nilpotent associative algebras
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|b Elsevier B.V.,
|c 2015-04-02T16:03:58Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/96327
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|a 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(A) is contained in M[subscript i+j-1](A) (by result of Gupta and Levin, it is always contained in M[subscript i+j-2](A)).
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|a National Science Foundation (U.S.) (NSF grant DMS-0504847)
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|a en_US
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|a Article
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|t Journal of Algebra
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