具有对称化 Cartan 矩阵关系的箭图 I：基础
表示论
2017-06-13 v5
摘要
我们引入并研究了一类 Iwanaga-Gorenstein 代数，这类代数通过与对称化 Cartan 矩阵相关联的带关系箭图来定义。这些代数推广了与对称 Cartan 矩阵相关联的箭图的路径代数。我们还定义了一类相应的广义预投射代数。在不假设基域的情况下，我们获得了所有有限根系的新表示论实现。
引用
@article{arxiv.1410.1403,
title = {Quivers with relations for symmetrizable Cartan matrices I : Foundations},
author = {Christof Geiss and Bernard Leclerc and Jan Schröer},
journal= {arXiv preprint arXiv:1410.1403},
year = {2017}
}
备注
72 pages. v2 : We restructured some of the sections, improved the exposition, fixed a few typos, and added new references. Title has slightly changed v3 : A few typos fixed. Section 9.3 on APR-tilting has been rewritten. v4 : an acknowledgement added. v5 : Exposition improved after comments from a referee, references updated and a few typos corrected. Final version, to appear in Inventiones Math