无环簇代数中正则簇特征的正性
表示论
2011-09-16 v2 环与代数
摘要
设 是一个无环箭图， 为相应的簇代数。设 是 在代数闭域上的路代数， 是一个不可分解的正则 -模。我们证明了当 是驯顺型且 是任意正则 -模，或 是野型且 是非拟单的正则 Schur 模时，与 相关联的簇特征在 的初始种子中表达的正性。
引用
@article{arxiv.0911.0714,
title = {Positivity for Regular Cluster Characters in Acyclic Cluster Algebras},
author = {G. Dupont},
journal= {arXiv preprint arXiv:0911.0714},
year = {2011}
}
备注
v2 : 15 pages. Title changed. The paper was entirely rewritten and shortened. For the sake of simplicity, the context was reduced to acyclic cluster algebras and the section on the A-double-infinite quiver was removed. Nevertheless, the methods and the results remain essentially unchanged. To appear in the Journal of Algebra and its Applications