On extensions of free nilpotent Lie algebras of type 2
✍ Scribed by Benito, Pilar; de-la-Concepción, Daniel
- Book ID
- 124147682
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 443 KB
- Volume
- 457
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
We find an explicit formula for the total dimension of the homology of a free 2-step nilpotent Lie algebra. We analyse the asymptotics of this formula and use it to find an improved lower bound on the total dimension of the homology of any 2-step nilpotent Lie algebra.
We construct large families of characteristically nilpotent Lie algebras by analyzing the centralizers of the ideals in the central descending sequence of the Lie algebra Q n and deforming its extensions preserving the structure of these centralizers and the natural graduation. This provides charact