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 → ∞ are also proved.
Original language | English |
---|---|
Pages (from-to) | 309-323 |
Number of pages | 15 |
Journal | Journal of Lie Theory |
Volume | 12 |
Issue number | 2 |
State | Published - 2002 |
Externally published | Yes |