Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms
โ Scribed by Jorge Lauret
- Publisher
- Springer Vienna
- Year
- 2008
- Tongue
- English
- Weight
- 146 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given a complex nilpotent finite dimensional Lie algebra of linear transformations, L, in a complex finite dimensional vector space, E, we study the joint spectra Sp(L, E), ,rs, k(L, E), and (r=, k(L , E). We compute them, and we prove that they all coincide with the set of weights of L for E. We al
In this paper we determine the homology with trivial coefficients of the free two-step nilpotent Lie algebras over the complex numbers. This is done by working out the structure of the homology as a module under the general linear group. The main tool is a Laplacian for the free two-step nilpotent L