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Completable two step nilpotent Lie algebras of type (2, p

✍ Scribed by Yan, Zaili; Deng, Shaoqiang

Book ID
127144949
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
146 KB
Volume
62
Category
Article
ISSN
0308-1087

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πŸ“œ SIMILAR VOLUMES

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Laplacian and Homology of Free Two-Step Nilpotent Lie Algebras
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In this paper we determine the homology with trivial coefficients of the free two-step nilpotent Lie algebras over the complex numbers. This is done by working out the structure of the homology as a module under the general linear group. The main tool is a Laplacian for the free two-step nilpotent L

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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.