4维正则代数及其A-无穷外代数
Regular algebras of dimension 4 and their A-infinity Ext-algebras
摘要：
我们构造了四类整体维数为4的Artin-Schelter正则代数。在某些一般条件下，这是由两个1次元素生成的整体维数为4的Artin-Schelter正则代数的完整列表。这些代数也是强Noetherian，Auslander正则和Cohen-Macaulay。其中一个主要工具是Keller关于A-无限Ext-algebra的高阶乘法定理。
英文摘要：
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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