Kostant theorem for special filtered algebras
环与代数
2007-05-23 v1 交换代数
量子代数
摘要
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.
引用
@article{arxiv.math/0303372,
title = {Kostant theorem for special filtered algebras},
author = {Vyacheslav Futorny and Serge Ovsienko},
journal= {arXiv preprint arXiv:math/0303372},
year = {2007}
}