Koszul代数的n-扩张

J4 ›› 2012, Vol. 50 ›› Issue (03): 387-.

Koszul代数的n-扩张

程智^1,2, 贲延付¹, 王修建¹, 杜先能¹

1. 安徽大学数学科学学院, 合肥 230039|
2. 安徽师范大学数学计算机科学学院, 安徽芜湖 241000

收稿日期:2011-07-27 出版日期:2012-05-26 发布日期:2012-05-28
通讯作者: 程智 E-mail:chengzhimath@126.com

n-Extensions of Koszul Algebras

CHENG Zhi^1,2, BEN Yanfu¹, WANG Xiujian¹, DU Xianneng¹

1. School of Mathematical Sciences, Anhui University, Hefei 230039, China;2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China

Received:2011-07-27 Online:2012-05-26 Published:2012-05-28
Contact: CHENG Zhi E-mail:chengzhimath@126.com

摘要/Abstract

摘要：

利用表示论的组合工具研究Koszul代数的n-扩张代数. 结果表明: 一类Koszul代数的n-三角扩张仍是Koszul代数; 对于d≥3时的d-Koszul代数, 其n-扩张一般不再是d-Koszul代数.

关键词: 三角矩阵扩张, Koszul代数, 矩阵扩张

Abstract:

We mainly studied the n-extensions of Koszul algebras with the help of the combination tools in representation theory. We got the conclusion that some n-triangular extensions of Koszul algebras are also Koszul algebras. Finally, an example was given to show that for the integer d≥3, the n-extensions algebras of dKoszul algebras may not be dKoszul algebras.

Key words: matrix extension, triangular matrix extension, Koszul algebra

中图分类号:

O153.3

程智, 贲延付, 王修建, 杜先能. Koszul代数的n-扩张[J]. J4, 2012, 50(03): 387-.

CHENG Zhi, BEN Yan-Fu, WANG Xiu-Jian, DU Xian-Nai. n-Extensions of Koszul Algebras[J]. J4, 2012, 50(03): 387-.