Projective resolutions and Yoneda algebras for algebras of dihedral type

被引：1

作者：

Generalov, Alexander

Kosmatov, Nikolai

机构：

[1] St Petersburg State Univ, Dept Math, St Petersburg 198504, Russia

[2] Univ Franche Comte, Fac Sci, F-25030 Besancon, France

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2007年 / 10卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Yoneda algebra; algebras of dihedral type; projective resolutions; module diagrams;

D O I：

10.1007/s10468-006-9012-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper provides a method for the computation of Yoneda algebras for algebras of dihedral type. The Yoneda algebras for one infinite family of algebras of dihedral type (the family D(3R) in K. Erdmann's notation) are computed. The minimal projective resolutions of simple modules were calculated by an original computer program implemented by one of the authors in C++ language. The algorithm of the program is based on a diagrammatic method presented in this paper and inspired by that of D. Benson and J. Carlson.

引用

页码：241 / 256

页数：16

共 13 条

[1] DIAGRAMS FOR MODULES
ALPERIN, JL
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1980, 16 (02) : 111 - 119
[2] ANTIPOV MA, 2004, J MATH SCI, V124, P4681
[3] Balaban M, 2002, AD TO DA RE, V1, P1
[4] Balasubramanian V, 1999, J HIGH ENERGY PHYS
[5] Benson D., 1991, REPRESENTATIONS COHO, VI
[6] DIAGRAMMATIC METHODS FOR MODULAR-REPRESENTATIONS AND COHOMOLOGY
BENSON, DJ
CARLSON, JF
[J]. COMMUNICATIONS IN ALGEBRA, 1987, 15 (1-2) : 53 - 121
[7] ALGEBRAS FROM DIAGRAMS
FULLER, KR
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1987, 48 (1-2) : 23 - 37
[8] GENERALOV AI, 2004, J MATH SCI, V124, P4719
[9] GENERALOV AI, 2004, J MATH SCI, V124, P4741
[10] GENERALOV AI, 2002, J MATH SCI, V112, P4318

← 1 2 →