On ideals of free and free nilpotent Lie algebras

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Models for Free Nilpotent Lie Algebras

If a Lie algebra g can be generated by M of its elements E1, . . . , EM , and if any other Lie algebra generated by M other elements F1, . . . , FM is a homomorphic image of g under the map Ei → Fi, we say that it is the free Lie algebra on M generators. The free nilpotent Lie algebra gM,r on M generators of rank r is the quotient of the free Lie algebra by the ideal gr+1 generated as follows: ...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1985

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1985-0781048-6