斜对称丛代数中丛单项式的线性无关性
表示论
2013-03-05 v4 环与代数
摘要
Fomin与Zelevinsky猜想：在任何丛代数中，丛单项式均线性无关，且交换图与丛复形均不依赖于系数的选取。我们为所有斜对称丛代数证实了这些猜想。
引用
@article{arxiv.1203.1307,
title = {Linear independence of cluster monomials for skew-symmetric cluster algebras},
author = {Giovanni Cerulli Irelli and Bernhard Keller and Daniel Labardini-Fragoso and Pierre-Guy Plamondon},
journal= {arXiv preprint arXiv:1203.1307},
year = {2013}
}
备注
14 pages. v2: Bibliography expanded. v3: Added results 3.7, 3.8, 4.7, 4.8 and 5.6. v4: Added reference and minor changes