Kostant theorem for special filtered algebras
Rings and Algebras
2007-05-23 v1 Commutative Algebra
Quantum Algebra
Abstract
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.
Cite
@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}
}