Free nilpotent Lie algebras admitting ad-invariant metrics

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چکیده

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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: Journal of Algebra

سال: 2012

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2012.05.016