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On the adjoint homology of 2-step nilpotent Lie algebras

โœ Scribed by Cagliero, Leandro; Tirao, Paulo

Book ID
121845109
Publisher
Australian Mathematical Society
Year
2005
Tongue
English
Weight
203 KB
Volume
71
Category
Article
ISSN
0004-9727

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๐Ÿ“œ SIMILAR VOLUMES

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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.

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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