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Models for free nilpotent Lie algebras

✍ Scribed by Matthew Grayson; Robert Grossman


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
666 KB
Volume
135
Category
Article
ISSN
0021-8693

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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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## Abstract In the present paper we give a description of the free algebra over an arbitrary set of generators in the variety of nilpotent minimum algebras. Such description is given in terms of a weak Boolean product of directly indecomposable algebras over the Boolean space corresponding to the B