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On the homology of free 2-step nilpotent Lie algebras

✍ Scribed by Johannes Grassberger; Alastair King; Paulo Tirao

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
111 KB
Volume
254
Category
Article
ISSN
0021-8693

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✦ Synopsis

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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