An Algorithm for the Construction of Parametrizing Bimodules for Homogeneous Modules Over Tubular Canonical Algebras

被引：7
|
作者：
Dowbor, Piotr [1 ]
Meltzer, Hagen [2 ]
Mroz, Andrzej [1 ]
机构：
[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
[2] Univ Szczecin, Inst Math, PL-70451 Szczecin, Poland
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2014年 / 17卷 / 01期
关键词：
Parametrizing bimodule; Homogeneous module; Canonical tubular algebra; Universal extension; Derivation; Weighted projective line; Coherent sheaf; Algorithm;
D O I：
10.1007/s10468-013-9430-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an algorithmic description of matrix bimodules parametrizing all indecomposable homogeneous I >-modules with a fixed slope q over a tubular canonical algebra I >, for all possible slopes q (Main Theorem 3.3). A crucial role in this description is played by universal extensions of bimodules and their nice properties (Theorems 3.1 and 3.2).
引用
收藏
页码：357 / 405
页数：49
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