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- W4302343000 abstract "We continue the study of the lower central series L_i(A) and its successive quotients B_i(A) of a noncommutative associative algebra A, defined by L_1(A)=A, L_{i+1}(A)=[A,L_i(A)], and B_i(A)=L_i(A)/L_{i+1}(A). We describe B_{2}(A) for A a quotient of the free algebra on two or three generators by the two-sided ideal generated by a generic homogeneous element. We prove that it is isomorphic to a certain quotient of Kaehler differentials on the non-smooth variety associated to the abelianization of A." @default.
- W4302343000 created "2022-10-06" @default.
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- W4302343000 date "2010-04-21" @default.
- W4302343000 modified "2023-10-14" @default.
- W4302343000 title "On the Lower Central Series Quotients of a Graded Associative Algebra" @default.
- W4302343000 doi "https://doi.org/10.48550/arxiv.1004.3735" @default.
- W4302343000 hasPublicationYear "2010" @default.
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