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Affine structures on three-step nilpotent Lie algebras

โœ Scribed by Scheuneman, John

Book ID
124082947
Publisher
American Mathematical Society
Year
1974
Tongue
English
Weight
265 KB
Volume
46
Category
Article
ISSN
0002-9939

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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.