Artin-Schelter regular algebras of dimension five

Details Artin-Schelter regular algebras of dimension five Artin-Schelter regular algebras of dimension five

2009-11-26

arxiv.org/abs/0911.5129v3

Algebra, Geometry, and Mathematical Physics, Banach Center Publications 93, (2011), p.19-39

Mathematics

Rings and Algebras

23 pages, added a section with a direct proof that the universal enveloping algebra of a finite dimensional positively graded

Scientific paper

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.

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