48 citations · 136 across the 41 of their papers we have counts for
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Some elementary properties of Laurent phenomenon algebras
Qiuning Du, Fang Li
Let be Laurent phenomenon (LP) seed of rank , , and be its corresponding Laurent phenomenon algebra, upper bound and lower…
On some combinatorial properties of generalized cluster algebras
Peigen Cao, Fang Li
In this paper, we prove some combinatorial results on generalized cluster algebras. To be more precisely, we prove that (i) the seeds of a generalized cluster algebra $\mathcal A(\…
A conjecture on -matrices of cluster algebras
Peigen Cao, Min Huang, Fang Li
For a skew-symmetrizable cluster algebra with principal coefficients at , we prove that each seed of is uniquely determined by its…
Some conjectures on generalized cluster algebras via the cluster formula and -matrix pattern
Peigen Cao, Fang Li
In the theory of generalized cluster algebras, we build the so-called cluster formula and -matrix pattern. Then as applications, some fundamental conjectures of generalized clus…
On Structure of cluster algebras of geometric type, II: Green's equivalences and paunched surfaces
Min Huang, Fang Li
Following our previous work [18], we introduce the notions of partial seed homomorphisms and partial ideal rooted cluster morphisms. Related to the theory of Green's equivalences,…
Representations of Frobenius-type triangular matrix algebras
Fang Li, Chang Ye
The aim of this paper is mainly to build a new representation-theoretic realization of finite root systems through the so-called Frobenius-type triangular matrix algebras by the me…