兰州大学机构库 >数学与统计学院
G2型的素蛇模
Alternative TitleThe prime snake modules of type G2
童俊
Thesis Advisor罗彦锋
2018-03-01
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
Keyword丛代数 G2 型量子仿射代数 素蛇模 突变序列 等式系统
Abstract

本论文中, 我们主要建立丛代数与G2型量子仿射代数中的素蛇模之间的联系. 首先, 我们给出了G2型素蛇模的定义, 找出了素蛇模的突变序列. 其次, 找到了G2型素蛇模中的一个等式系统. 最后, 我们得出这个等式系统对应丛代数中的突变, 且此等式中的每个素蛇模与丛代数中的丛变量对应.

Other Abstract

In this paper, we establish a connection between cluster algebras and a class of modules of the quantum affine algebra of type G2, which is called prime snake modules. Firstly, we give the definition for prime snake modules of type G2, and find the mutation sequences for the prime snake modules. Secondly, we find a system of equations for the prime snake modules. Finally, we show that the equations in the system of type G2 correspond to mutations in some cluster algebra, moreover, every prime module in these equations corresponds to a cluster variable in some cluster algebra.

URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/225709
Collection数学与统计学院
Recommended Citation
GB/T 7714
童俊. G2型的素蛇模[D]. 兰州. 兰州大学,2018.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[童俊]'s Articles
Baidu academic
Similar articles in Baidu academic
[童俊]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[童俊]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.