solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看8094次
Combinatorics of $\mathcal{X}$-variables in finite type cluster algebras. (arXiv:1803.02492v1 [math.CO])
来源于:arXiv
We compute the number of $\mathcal{X}$-variables (also called coefficients)
of a cluster algebra of finite type when the underlying semifield is the
universal semifield. For classical types, these numbers arise from a bijection
between coefficients and quadrilaterals (with a choice of diagonal) appearing
in triangulations of certain marked surfaces. We conjecture that similar
results hold for cluster algebras from arbitrary marked surfaces, and obtain
corollaries regarding the structure of finite type cluster algebras of
geometric type. 查看全文>>