Unruffled extensions and flatness over central subalgebras
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
A condition on an affine central subalgebra of a noetherian algebra of finite Gelfand-Kirillov dimension, which we call here \emph{unruffledness}, is shown to be equivalent in some circumstances to the flatness of as a -module. Unruffledness was studied by Borho and Joseph in work on enveloping algebras of complex semisimple Lie algebras, and we discuss applications of our result to enveloping algebras, as well as beginning the study of this condition for more general algebras.
Cite
@article{arxiv.math/0405254,
title = {Unruffled extensions and flatness over central subalgebras},
author = {Kenneth A. Brown},
journal= {arXiv preprint arXiv:math/0405254},
year = {2007}
}