分段遗传代数的强全局维数
表示论
2017-03-17 v3
摘要
设 T 为三角范畴中的倾斜对象，该三角范畴等价于具有有限维同态空间和可分裂幂等元的遗传阿贝尔范畴的有界导出范畴。本文研究了 T 的自同态代数的强全局维数（按 Ringel 的定义）。该不变量可用倾斜对象序列长度的下确界来表示，这些倾斜对象通过倾斜突变依次关联，序列末项为 T，首项的自同态代数为准倾斜代数。该不变量也可用该三角范畴的遗传阿贝尔生成子范畴来表示。
引用
@article{arxiv.1305.5213,
title = {The strong global dimension of piecewise hereditary algebras},
author = {Edson Ribeiro Alvares and Patrick Le Meur and Eduardo N. Marcos},
journal= {arXiv preprint arXiv:1305.5213},
year = {2017}
}
备注
Final published version. After refereeing, historical considerations were added and the length of the article was reduced: Introduction and Section 1 were reformulated; Subsection 2.1 was moved to Section 1 (with an abridged proof); Subsection 3.2 was reformulated (with an abridged proof); The proof in A.5 was rewritten (now shorter); And minor rewording was processed throughout the article