Artin-Schelter regular algebras of dimension five
Volume 93 / 2011
Banach Center Publications 93 (2011), 19-39
MSC: Primary 16S38; Secondary 16E05, 14A22.
DOI: 10.4064/bc93-0-2
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.
