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Regular algebras of dimension 4 and their A-infinity Ext-algebras

D. -M. Lu·J. H. Palmieri·Q. -S. Wu·J. J. Zhang
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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.

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D. -M. Lu, J. H. Palmieri, Q. -S. Wu, J. J. Zhang. 2004-11-22. Regular algebras of dimension 4 and their A-infinity Ext-algebras. https://arxiv.org/abs/math/0411497

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