12 citations · 51 across the 17 of their papers we have counts for
6 papers · 1 filter
The finite basis problem for the monoid of 2 by 2 upper triangular tropical matrices
Yuzhu Chen, Xun Hu, Yanfeng Luo +1
For each positive , let denote the identity obtained from the Adjan identity by substituting $(xy) \rightarrow…
Cluster algebras and snake modules
Bing Duan, Jian-Rong Li, Yan-Feng Luo
Snake modules introduced by Mukhin and Young form a family of modules of quantum affine algebras. The aim of this paper is to prove that the Hernandez-Leclerc conjecture about mono…
On the minimal affinizations over the quantum affine algebras of type
Xin-Yang Feng, Jian-Rong Li, Yan-Feng Luo
In this paper, we study the minimal affinizations over the quantum affine algebras of type by using the theory of cluster algebras. We show that the -characters of a large…
Primitive orthogonal idempotents of Brandt semigroup algebras
Yi Zhang, Jian-Rong Li, Xiao-Song Peng +1
A complete set of primitive orthogonal idempotents plays an important role in the representation theory of an associative algebra. In this paper, we construct a complete set of pri…
On the minimal affinizations of type
Bing Duan, Jian-Rong Li, Yan-Feng Luo
In this paper, we apply the theory of cluster algebras to study minimal affinizations for the quantum affine algebra of type . We show that the -characters of a large famil…
M-systems and Cluster algebras
Qian-Qian Zhang, Bing Duan, Jian-Rong Li +1
The aim of this paper is two-fold: (1) introduce four systems of equations called M-systems and dual M-systems of types and respectively; (2) make a connection betw…