Stable flatness of nonarchimedean hyperenveloping algebras
Representation Theory
2012-12-17 v2 Optimization and Control
Abstract
Let L be a p-adic local field and g a finite dimensional Lie algebra over L. We show that its hyperenveloping algebra F(g) is a stably flat completion of its universal enveloping algebra. As a consequence the relative cohomology for the locally convex algebra F(g) coincides with the underlying Lie algebra cohomology. Final version. Some minor items corrected. Appeared in Journal of Algebra (2010).
Cite
@article{arxiv.0807.2847,
title = {Stable flatness of nonarchimedean hyperenveloping algebras},
author = {Tobias Schmidt},
journal= {arXiv preprint arXiv:0807.2847},
year = {2012}
}