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arXiv 2012.06572math.RTmath.COmath.RA
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无穷小半不变图像与余合并

Infinitesimal semi-invariant pictures and co-amalgamation

Eric J. Hanson, Kiyoshi Igusa, Moses Kim, Gordana Todorov

AI总结:

本文研究了驯顺遗传代数在零根附近的半不变图像局部结构,提出余合并构造将其完全由自内射Nakayama代数描述,并引入支撑正则簇描述锥,证明该结构在cluster倾斜下分段线性不变。

摘要:

本文旨在研究驯顺遗传代数在零根附近的半不变图像的局部结构。利用一种我们称为余合并的构造,我们证明该局部结构可由一族自内射Nakayama代数的半不变图像完全描述。随后,我们利用一种我们称为支撑正则簇的类簇结构来描述该局部结构的锥。最后,我们证明该局部结构在cluster倾斜下是(分段线性)不变的。

英文摘要:

The purpose of this paper is to study the local structure of the semi-invariant picture of a tame hereditary algebra near the null root. Using a construction that we call co-amalgamation, we show that this local structure is completely described by the semi-invariant pictures of a collection of self-injective Nakayama algebras. We then describe the cones of this local structure using cluster-like structures that we call support regular clusters. Finally, we show that the local structure is (piecewise linearly) invariant under cluster tilting.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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