4.3 Article

On class of Lie algebras of infinite dimension

Journal

COMMUNICATIONS IN ALGEBRA
Volume 29, Issue 1, Pages 177-191

Publisher

MARCEL DEKKER INC
DOI: 10.1081/AGB-100000793

Keywords

Algebre de Lie; Algebre de Lie Fine

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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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