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|Type:||Artigo de periódico|
|Title:||Nilpotent-by-abelian Lie algebras of type FPm|
|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).|
|Editor:||Cambridge Univ Press|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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