Artin-Schelter regular algebras of dimension five

• Autorzy: Gunnar Fløystad , Jon Eivind Vatne
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16S38: Rings arising from non-commutative algebraic geometry
• 14A22: Noncommutative algebraic geometry
• 16E05: Syzygies, resolutions, complexes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 19-39

Daty

wydano

2011

Twórcy

autor

Gunnar Fløystad

• Matematisk institutt, Johs. Brunsgt. 12, N-5008 Bergen, Norway

autor

Jon Eivind Vatne

• Faculty of Engineering, P.O. Box 7030, N-5020 Bergen, Norway

Identyfikatory

DOI

10.4064/bc93-0-2