We present the classification of one type of graded nilpotent Lie algebras. We start from the gradation related to the filtration which is produced in a natural way by the descending central sequence in a Lie algebra. These gradations were studied by Vergne [Bull. Soc. Math. France 98 (1970) 81-116]
Completable filiform Lie algebras
✍ Scribed by JoséMarı́aAncochea Bermúdez; Rutwig Campoamor
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 95 KB
- Volume
- 367
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer n there exists a solvable complete Lie algebra whose second cohomology group with values in the adjoint module has dimension at least n.
📜 SIMILAR VOLUMES
We give the derivation algebra Der H and the holomorph ᒅ H of the finite dimensional Heisenberg algebra H over the complex field C. We also give the Ž . Ž . Ž . derivation algebra Der ᒅ H of ᒅ H . We prove that Der H is a simple complete Ž . Lie algebra, ᒅ H is not a complete Lie algebra, but its de