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Algorithms for central extensions of Lie algebras
Conference proceeding

Algorithms for central extensions of Lie algebras

Robert Beck and Bernard Kolman
Proceedings of the fourth ACM symposium on symbolic and algebraic computation
05 Aug 1981

Abstract

It follows from [1] that every n-dimensional nilpotent Lie algebra is a central extension of a lower dimensional nilpotent Lie algebra. This paper develops algorithms to handle two problems: (1) the decomposition of a given nilpotent Lie algebra @@@@ as a finite sequence of central extensions of lower dimensional nilpotent Lie algebras and (2) the construction of all n-dimensional nilpotent Lie algebras as central extensions of lower dimensional nilpotent Lie algebras.

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