A construction of characteristic tilting modules

被引：3
|
作者：
Deng, BM [1 ]
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2002年 / 18卷 / 01期
基金：
中国国家自然科学基金;
关键词：
quasi-hereditary algebra; characteristic tilting module; ringel dual;
D O I：
10.1007/s101140100145
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Associated with each finite directed quiver Q is a quasi-hereditary algebra, the so-called twisted double of the path algebra kQ. Characteristic tilting modules over this class of quasi-hereditary algebras are constructed. Their endomorphism algebras are explicitly described. It turns out that this class of quasi-hereditary algebras is closed under taking the Ringel dual.
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页码：129 / 136
页数：8
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