Kostant theorem for special filtered algebras

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A famous result of Kostant states that the universal enveloping algebra of a semisimple complex Lie algebra is a free module over its center. We prove an analogue of this result for a class of filtered algebras and apply it to show the freeness over its center of the restricted Yangian and the universal enveloping algebra of the restricted current algebra associated with the general linear Lie algebra.

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Rings and Algebras, Commutative Algebra, Quantum Algebra, 13A02;16W70;17B37;81R10

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http://salesiana.dossiersoluciones.com/handle/123456789/66938

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303372
 http://arxiv.org/abs/math/0303372

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arXiv