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Naturally graded quasi-filiform Lie algebras

✍ Scribed by J.R. Gómez; A. Jiménez-Merchán

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
154 KB
Volume
256
Category
Article
ISSN
0021-8693

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✦ Synopsis

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] and her classification of the graded filiform Lie algebras is here extended to other algebras with a high nilindex. We also show how symbolic calculus can be useful in order to obtain results in a similar classification problem.

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