EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 12, No. 2, pp. 309--323 (2002)

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On the homology of free nilpotent Lie algebras

Paulo Tirao

Paulo Tirao
CIEM-FaMAF
Universidad Nacional de Córdoba
Ciudad Universitaria, 5000 Córdoba, Argentina.
ptirao@mate.uncor.edu

Abstract: Explicit computations of the homology of some complex free nilpotent Lie algebras of small rank $r$, as modules over the general linear group GL$(r,\C)$ are presented. A GL$(r,\C)$-Poincaré duality theorem and a stabilization theorem for $r\rightarrow\infty$ are also proved.

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Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.

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