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Let A be a noncommutative associative algebra, viewed as a Lie algebra via definition of the Lie bracket [x, y] = xy − yx. Define the lower central series filtration inductively by L 1 (A) = A, and L i+1 (A) = [A, L i (A)]. Denote the components of its associated graded space by B i (A) = L i (A)/L i+1 (A). The components of the associated graded space are(More)
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