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|Type:||Artigo de periódico|
|Title:||Homological finiteness properties of Lie algebras|
|Abstract:||We apply the main ideas behind the group theoretic methods developed in [P.H. Kropholler, Bull. London Math. Soc. 25 (1993) 558-566; J. Pure Appl. Math. 90 (1993) 55-67] to study Lie algebras of type FPinfinity. We show that every soluble Lie algebra of type FPinfinity is finite dimensional. Some refinements of this result, when the algebra is abelian-by-finite dimensional and only type FPm is assumed, are obtained. It is also shown, using the complete cohomology of Vogel and Mislin, that for a wide class of Lie algebras, including all countable soluble ones, FPinfinity implies finite cohomological dimension. (C) 2004 Published by Elsevier Inc.|
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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