On 3-graded Lie algebras in a pair of generators: a classification
β Scribed by M.P. de Oliveira
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 122 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-4049
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β¦ Synopsis
A classiΓΏcation of 3-graded Lie algebras in a pair of generators over C is presented.
π SIMILAR VOLUMES
Let 9 be a complex semi-simple Lie algebra. Extending a result of Gerstenhaber on spaces of nilpotent matrices, it is shown that if W c g is a linear subspace of ad nilpotent elements then dim W < i( dim.g -rank g). Similarly, it is shown that the maximal dimension of a linear space of symmetric nil
The aim of this paper is to determine the first three spaces of weight -1 of the adjoint cohomology of the Nijenhuis-Richardson algebra of the functions of a manifold, which are important in deformation theory (the first and second will be computed for an arbitrary weight q β€ -1).