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 → ∞ are also proved.
|Number of pages||15|
|Journal||Journal of Lie Theory|
|State||Published - 2002|