Regular algebras of dimension 4 and their A-infinity Ext-algebras
Rings and Algebras
2007-05-23 v1 Quantum Algebra
Abstract
We construct four families of Artin-Schelter regular algebras of global dimension four. Under some generic conditions, this is a complete list of Artin-Schelter regular algebras of global dimension four that are generated by two elements of degree 1. These algebras are also strongly noetherian, Auslander regular and Cohen-Macaulay. One of the main tools is Keller's higher-multiplication theorem on A-infinity Ext-algebras.
Keywords
Cite
@article{arxiv.math/0411497,
title = {Regular algebras of dimension 4 and their A-infinity Ext-algebras},
author = {D. -M. Lu and J. H. Palmieri and Q. -S. Wu and J. J. Zhang},
journal= {arXiv preprint arXiv:math/0411497},
year = {2007}
}
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34 pages