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丛代数中的整数向量

Integer Vectors Arising from Cluster Algebras
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摘要 在丛代数的结构理论中有四类整数向量:c向量、d向量、f向量和g向量,它们在丛代数的研究中发挥了重要的作用.本文将回顾这些整数向量的概念,介绍它们的性质、研究的问题及其进展. There are four kinds of integer vectors arising from the structure theory of cluster algebras:cvector,dvector,fvector and gvector,which have played important roles in the study of cluster algebras.This paper is devoted to reviewing the concepts of those vectors and introducing their properties,research problems and research progress.
作者 付昌建 耿圣飞 刘品 Fu Changjian;Geng Shengfei;Liu Pin(School of Mathematics,Sichuan University,Chengdu 610064,China;School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China)
出处 《数学理论与应用》 2022年第1期1-15,共15页 Mathematical Theory and Applications
基金 国家自然科学基金项目(No.11971326,12071315,12171397)资助。
关键词 丛代数 分母猜想 c-向量 d-向量 f-向量 g-向量 Cluster algebra Denominator c-onjecture cvector d-vector f-vector g-vector
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