Abstract
In this paper we determine the homology of the free 2-step nilpotent complex Lie algebra, with adjoint coefficients, as a module over the general linear group. This module is not multiplicity free. We give an explicit formula for the multiplicities and we compute the total dimension.
Original language | English |
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Pages (from-to) | 125-145 |
Number of pages | 21 |
Journal | Quarterly Journal of Mathematics |
Volume | 53 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2002 |
Externally published | Yes |