On the Lower Central Series of an Associative Algebra

@inproceedings{DOBROVOLSKA2008OnTL,
  title={On the Lower Central Series of an Associative Algebra},
  author={GALYNA DOBROVOLSKA and John G. Kim},
  year={2008}
}
For an associative algebra A, define its lower central series L0(A) = A, Li(A) = [A, Li−1(A)], and the corresponding quotients Bi(A) = Li(A)/Li+1(A). In this paper, we study the structure of Bi(An) for a free algebra An. We construct a basis for B2(An) and determine the structure of B3(A2) and B4(A2). In the appendix, we study the structure of B2(A) for any… CONTINUE READING