Universal Lie algebra extensions via commutative structures

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We consider some special type extensions of an arbitrary Lie algebra, which we call universal extensions. We show that these extensions are in one-to-one correspondence with finite dimensional associative commutative algebras. We also construct a special kind of these extensions, that correspond to a finite commutative monoids.
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Rings and Algebras, Dynamical Systems, 37K30 (Primary) 37K05, 17B80 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62055

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108142
 http://arxiv.org/abs/math/0108142

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arXiv