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Type: Artigo de periódico
Title: Nilpotent-by-abelian Lie algebras of type FPm
Author: Groves, JRJ
Kochloukova, DH
Abstract: Let L be a finitely generated Lie algebra which is a split extension of a free nilpotent Lie algebra N by a finite dimensional abelian Lie algebra. Let V denote the quotient of N by its commutator subalgebra; we can regard V as a module for L/N. We discuss the relationship between the homological finiteness properties of V and those of L. In particular, we show that if L has type F P, and N has class c then V is 1 + c(m - 1)-tame (equivalently, the (1 + c(m - 1))th tensor power of V is finitely generated under the diagonal action of L/N).
Country: EUA
Editor: Cambridge Univ Press
Citation: Mathematical Proceedings Of The Cambridge Philosophical Society. Cambridge Univ Press, v. 148, n. 429, n. 437, 2010.
Rights: embargo
Identifier DOI: 10.1017/S0305004109990442
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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