International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 805305, 12 pages
doi:10.1155/2008/805305
Research Article
Adjoint and Trivial Cohomologies of Nilpotent Complex Lie Algebras of Dimension ≤7
Institut Mathématique de Bourgogne, UMR CNRS 5584, Université de Bourgogne, BP 47870, 21078 Dijon Cedex, France
Received 8 May 2008; Accepted 19 August 2008
Academic Editor: Aloys Krieg
Copyright © 2008 L. Magnin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We present tables for adjoint and trivial cohomologies of complex nilpotent Lie
algebras of dimension ≤7. Attention is paid to quadratic Lie algebras, Poincaré duality,
and harmonic cocycles.