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The adjoint homology of a family of 2-step nilradicals

✍ Scribed by María Alejandra Alvarez; Paulo Tirao


Book ID
113675373
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
265 KB
Volume
352
Category
Article
ISSN
0021-8693

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On the homology of free 2-step nilpotent
✍ Johannes Grassberger; Alastair King; Paulo Tirao 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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.