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Minimal algebras and 2-step nilpotent Lie algebras in dimension 7

✍ Scribed by Giovanni Bazzoni


Book ID
120966032
Publisher
Springer
Year
2012
Tongue
English
Weight
311 KB
Volume
165
Category
Article
ISSN
0046-5755

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On the homology of free 2-step nilpotent
✍ Johannes Grassberger; Alastair King; Paulo Tirao πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 111 KB

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.