U(g)-Galois extensions

Authors
Citation
Db. Parker, U(g)-Galois extensions, COMM ALGEB, 29(7), 2001, pp. 2859-2870
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
7
Year of publication
2001
Pages
2859 - 2870
Database
ISI
SICI code
0092-7872(2001)29:7<2859:UE>2.0.ZU;2-8
Abstract
This paper studies the structure of U(g)-Galois extensions. In particular, we use a result of Bell to construct a "PBW-like" free basis for faithfully flat U(g)-Galois extensions. We then move to non-faithfully flat extension s and propose a possible equivalent condition for a U(g)-extension to be Ga lois. We get a partial result for this.