Artin-Schelter regular algebras of dimension five
Rings and Algebras
2016-09-30 v3
Abstract
We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.
Keywords
Cite
@article{arxiv.0911.5129,
title = {Artin-Schelter regular algebras of dimension five},
author = {Gunnar Floystad and Jon Eivind Vatne},
journal= {arXiv preprint arXiv:0911.5129},
year = {2016}
}
Comments
23 pages, added a section with a direct proof that the universal enveloping algebra of a finite dimensional positively graded Lie algebra is Artin-Schelter regular