Artin-Schelter regular algebras of dimension five
Gunnar Fløystad; Jon Eivind Vatne
Banach Center Publications (2011)
- Volume: 93, Issue: 1, page 19-39
- ISSN: 0137-6934
Access Full Article
top
Abstract
topHow to cite
topGunnar Fløystad, and Jon Eivind Vatne. "Artin-Schelter regular algebras of dimension five." Banach Center Publications 93.1 (2011): 19-39. <http://eudml.org/doc/281990>.
@article{GunnarFløystad2011,
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.},
author = {Gunnar Fløystad, Jon Eivind Vatne},
journal = {Banach Center Publications},
keywords = {Hilbert series; Artin-Schelter regular algebras; enveloping algebras; generators},
language = {eng},
number = {1},
pages = {19-39},
title = {Artin-Schelter regular algebras of dimension five},
url = {http://eudml.org/doc/281990},
volume = {93},
year = {2011},
}
TY - JOUR
AU - Gunnar Fløystad
AU - Jon Eivind Vatne
TI - Artin-Schelter regular algebras of dimension five
JO - Banach Center Publications
PY - 2011
VL - 93
IS - 1
SP - 19
EP - 39
AB - 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.
LA - eng
KW - Hilbert series; Artin-Schelter regular algebras; enveloping algebras; generators
UR - http://eudml.org/doc/281990
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.