12 citations · 51 across the 17 of their papers we have counts for
17 papers
A combinatorial model for -characters of fundamental modules of type
Jun Tong, Bing Duan, Yanfeng Luo
In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type , inspired by Mukhin and Young's combinatorial path models of re…
Hernandez-Leclerc modules and snake graphs
Bing Duan, Jian-Rong Li, Yan-Feng Luo
In 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2019, Brito and Chari defined a family of modules ove…
Finite DC-groups
Dandan Zhang, Haipeng Qu, Yanfeng Luo
Let G be a group and DS(G) = { H'| H is any subgroup of G}. G is said to be a DC-group if DS(G) is a chain. In this paper, we prove that a finite DC-group is a semidirect product o…
Identities of the Kauffman Monoid
Yuzhu Chen, Xun Hu, N. V. Kitov +2
We give a transparent combinatorial characterization of the identities satisfied by the Kauffman monoid . Our characterization leads to a polynomial time algorithm t…
Weighted infinitesimal unitary bialgebras, pre-Lie, matrix algebras and polynomial algebras
Yi Zhang, Jiawen Zheng, Yanfeng Luo
Motivated by the classical comatrix coalgebra, we introduce the concept of a Newtonian comatrix coalgebra. We construct an infinitesimal unitary bialgebra on a matrix algebra and a…
Weighted infinitesimal unitary bialgebras on rooted forests and weighted cocycles
Yi Zhang, Dan Chen, Xing Gao +1
In this paper, we define a new coproduct on the space of decorated planar rooted forests to equip it with a weighted infinitesimal unitary bialgebraic structure. We introduce the c…