4 citations · 7 across the 15 of their papers we have counts for
16 papers
Enumeration of Upper Triangular Symplectic Renner Monoids
Reginald Koo, Zhenheng Li
In this paper, we compute the orders of upper triangular symplectic Renner monoids using admissible sets. We obtain both recursive and closed-form formulas for these orders. We the…
Congruences on Orthogonal Rook Monoids and Symplectic Rook Monoids
Jianqiang Feng, Zhenheng Li
We give a complete classification of all nonuniform congruences on orthogonal rook monoids and symplectic rook monoids. We find that there are four kinds of nonuniform congruences…
Lattice Path Enumeration and Its Applications in Representation Theory
Jianqiang Feng, Wenli Liu, Ximei Bai +1
In this paper, we enumerate lattice paths with certain constraints and apply the corresponding results to develop formulas for calculating the dimensions of submodules of a class o…
Modules and Structures of Planar Upper Triangular Rook Monoids
Jianqiang Feng, Wenli Liu, Ximei Bai +1
In this paper, we discuss modules and structures of the planar upper triangular rook monoid B_n. We first show that the order of B_n is a Catalan number, then we investigate the pr…
-Extension of -Lie algebras
Ruipu Bai, Yansha Gao, Zhenheng Li
We study an extension algebra from two given -Lie algebras and , and discuss the extensibility of a pair of derivations, one from the derivation algebra of and th…
Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups
Zhenheng Li, Zhuo Li, Claus Mokler
Starting with a highest weight representation of a Kac-Moody group over the complex numbers, we construct a monoid whose unit group is the image of the Kac-Moody group under the re…