Naslov
On the Lower Central Series Quotients of a Graded Associative Algebra

Autori
Balagović, Martina ; Balasubramanian, Anirudha

Izvornik
Journal of algebra (0021-8693) 328 (2011), 1; 287-300

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Lower central series ; Kähler differentials ; Noncommutative associative algebra

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA