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The Space of Bounded Spherical Functions on the Free 2-Step Nilpotent Lie Group

✍ Scribed by Chal Benson; Gail Ratcliff

Publisher
SP Birkhäuser Verlag Boston
Year
2008
Tongue
English
Weight
595 KB
Volume
13
Category
Article
ISSN
1083-4362

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On the homology of free 2-step nilpotent
On the homology of free 2-step nilpotent Lie algebras
✍ 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.