On the Lower Central Series Quotients of a Graded Associative Algebra - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: We continue the study of the lower central series L iA and its successivequotients B iA of a noncommutative associative algebra A, defined byL 1A=A, L {i+1}A=A,L iA, and B iA=L iA-L {i+1}A. We describeB {2}A for A a quotient of the free algebra on two or three generators by thetwo-sided ideal generated by a generic homogeneous element. We prove that it isisomorphic to a certain quotient of Kaehler differentials on the non-smoothvariety associated to the abelianization of A.



Author: Martina Balagovic, Anirudha Balasubramanian

Source: https://arxiv.org/



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