The Casimir Invariants of Universal Lie algebra extensions via commutative structures

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We consider the Casimir Invariants related to some a special kind of Lie-algebra extensions, called universal extensions. We show that these invariants can be studied using the equivalence between the universal extensions and the commutative algebras and consider in detail the so called coextension structures, arising in the calculation of the Casimir functions.
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Dynamical Systems, Rings and Algebras, 37K30 (Primary) 37K05, 17B80 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62070

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108161
 http://arxiv.org/abs/math/0108161

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arXiv