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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-2,
author = {Gunnar Fl\o ystad and Jon Eivind Vatne},
title = {Artin-Schelter regular algebras of dimension five},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {19-39},
zbl = {1264.16029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-2}
}
Gunnar Fløystad; Jon Eivind Vatne. Artin-Schelter regular algebras of dimension five. Banach Center Publications, Tome 95 (2011) pp. 19-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-2/