Invariant theory of Artin-Schelter regular algebras: a survey

被引：9
|
作者：
Kirkman, Ellen E. [1 ]
机构：
[1] Wake Forest Univ, Dept Math, POB 7388, Winston Salem, NC 27109 USA
来源：
RECENT DEVELOPMENTS IN REPRESENTATION THEORY | 2016年 / 673卷
关键词：
SEMISIMPLE HOPF ACTIONS; COHEN-MACAULAY MODULES; FINITE LINEAR-GROUPS; DOWN-UP ALGEBRAS; COMPLETE-INTERSECTIONS; GRADED ALGEBRAS; RINGS; AUTOMORPHISMS; SINGULARITIES; RIGIDITY;
D O I：
10.1090/conm/673/13489
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This is survey of results that extend notions of the classical invariant theory of linear actions by finite groups on k[x(1),...,x(n)] to the setting of finite group or Hopf algebra H actions on an Artin-Schelter regular algebra A. We investigate when A(H) is AS regular, or AS Gorenstein, or a "complete intersection" in a sense that is defined. Directions of related research are explored briefly.
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页码：25 / +
页数：6
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