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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 805305, 12 pages
doi:10.1155/2008/805305

Adjoint and Trivial Cohomologies of Nilpotent Complex Lie Algebras of Dimension ≤7

L. Magnin

Institut Mathématique de Bourgogne, UMR CNRS 5584, Université de Bourgogne, BP 47870, 21078 Dijon Cedex, France

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.