Kostant theorem for special filtered algebras

Details Kostant theorem for special filtered algebras Kostant theorem for special filtered algebras

2003-03-29

arxiv.org/abs/math/0303372v1

Mathematics

Rings and Algebras

Scientific paper

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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