Lower central series of a free associative algebra over the integers and finite fields
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چکیده
منابع مشابه
Lower Central Series of a Free Associative Algebra over the Integers and Finite Fields
Consider the free algebra An generated over Q by n generators x1, . . . , xn. Interesting objects attached to A = An are members of its lower central series, Li = Li(A), defined inductively by L1 = A, Li+1 = [A,Li], and their associated graded components Bi = Bi(A) defined as Bi = Li/Li+1. These quotients Bi for i ≥ 2, as well as the reduced quotient B̄1 = A/(L2 + AL3), exhibit a rich geometric ...
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∗Université de Grenoble; Laboratoire Jean Kuntzmann, (umr CNRS 5224, Grenoble INP, INRIA, UJF, UPMF); [email protected]; 51, rue des Mathématiques, BP 53X, F-38041 Grenoble, France. †INRIA, Université de Grenoble; Laboratoire LIG (umr CNRS 5217, Grenoble INP, INRIA, UJF, UPMF); [email protected]; ENSIMAG Antenne de Montbonnot, 51, avenue Jean Kuntzmann, F-38330 Montbonnot Saint-...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.07.052