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Constructing bases of finitely presented Lie algebras using Groebner bases in free algebras

By W.A. de Graaf and J. Wisliceny


We derive a sufficient condition for a generating set of an ideal in the free (non-associative, non-commutative) algebra to be a Grobner basis. Using this we formulate an algorithm for computing a basis of a finitely presented Lie algebra. At the end of the paper we discuss the practical implementation of the algorithm

Topics: Wiskunde en Informatica
Year: 1999
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