
Journal of Lie Theory 12 (2002), No. 2, 309323 Copyright Heldermann Verlag 2002 On the Homology of Free Nilpotent Lie Algebras Paulo Tirao CIEM  FaMAF, Universidad Nacional, 5000 Córdoba, Argentina 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)Poincare duality theorem and a stabilization theorem for r approaching infinity are also proved. [ Fulltextpdf (239 KB)] 