Rationally Varying Polarizing Subalgebras in Nilpotent Lie Algebras
نویسندگان
چکیده
منابع مشابه
Free Subalgebras of Lie Algebras Close to Nilpotent
We prove that for every automata algebra of exponential growth, the associated Lie algebra contains a free subalgebra. For n ≥ 1, let Ln+2 be a Lie algebra with generator set x1, . . . , xn+2 and the following relations: for k ≤ n, any commutator of length k which consists of fewer than k different symbols from {x1, . . . , xn+2} is zero. As an application of this result about automata algebras...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.2307/2043981