Lengths of maximal green sequences for tame path algebras

被引：1
|
作者：
Kase, Ryoichi [1 ]
Nakashima, Ken [2 ]
机构：
[1] Okayama Univ Sci, Fac Informat, Kita Ku, 1-1 Ridaicho, Okayama 7000005, Japan
[2] RIKEN, Ctr Adv Intelligence Project, Chuo Ku, Nihon1 Chome Mitsui Bldg,15th Fl,1-4-1 Nihonbashi, Tokyo 1030027, Japan
来源：
RESEARCH IN THE MATHEMATICAL SCIENCES | 2021年 / 8卷 / 04期
基金：
日本学术振兴会;
关键词：
Maximal green sequence; (tau-)tilting theory; Quiver representation; Tame path algebra; Support (tau-)tilting poset;
D O I：
10.1007/s40687-021-00290-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the maximal length of maximal green sequences for quivers of type (D) over bar and (E) over bar by using the theory of tilting mutation. We show that the maximal length does not depend on the choice of the orientation and determine it explicitly. Moreover, we give a program which counts all maximal green sequences by length for a given Dynkin/extended Dynkin quiver.
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页数：95
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