Lower central series of a free associative algebra over the integers and finite fields

Consider the free algebra A[subscript n] generated over Q by n generators x[subscript 1],…,x[subscript n]. Interesting objects attached to A=A[subscript n] are members of its lower central series, L[subscript i] = L[subscript i](A), defined inductively by L[subscript 1] = A, L[subscript i + 1] =[A,L...

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Bibliographic Details
Main Authors: Bhupatiraju, Surya, Jordan, David, Kuszmaul, William, Li, Jason, Etingof, Pavel I.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Elsevier 2015
Online Access:http://hdl.handle.net/1721.1/99444
https://orcid.org/0000-0002-0710-1416