Abstract
We prove a fundamental case of a conjecture of the first author which expresses the homology of the extension of the Heisenberg Lie algebra by ℂ[t]/(tk+1) in terms of the homology of the Heisenberg Lie algebra itself. More specifically, we show that both the 0th and (k + 1)th x-graded components of homology of this extension of the three-dimensional Heisenberg Lie algebra have dimension 3k+1 by constructing a simple basis for cohomology.
Original language | English (US) |
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Pages (from-to) | 219-231 |
Number of pages | 13 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 99 |
Issue number | 2 |
DOIs | |
State | Published - 2002 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics