SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE
Kamola KhakimdjanovaUniversité de Haute Alsace, Faculté des Sciences et Techniques , 4, rue des Frères Lumière, Mulhouse, Cedex, 68093, FranceYusupdjan KhakimdjanovUniversité de Haute Alsace, Faculté des Sciences et Techniques , 4, rue des Frères Lumière, Mulhouse, Cedex, 68093, France
2001fr
ABI
Abstract
We introduce here two classes of infinite dimensional Lie Algebras called potentially nilpotent and potentially solvable and we define the notion of Fine Lie Algebra. The study of the Fine Lie Algebras allows to obtain their complete classification in the natural or standard graded cases.
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