4 citations · 7 across the 15 of their papers we have counts for
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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…
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…
Infinite Dimensional 3-Lie Algebras and Their Connections to Harish-Chandra Modules
Ruipu Bai, Zhenheng Li, Weidong Whang
In this paper we construct two kinds of infinite-dimensional 3-Lie algebras from a given commutative associative algebra, and show that they are all canonical Nambu 3-Lie algebras.…
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…
Cross-section Lattices of -irreducible Monoids and Orbit Structures of Weight Polytopes
Zhuo Li, You'an Cao, Zhenheng Li
Let be a dominant weight of a finite dimensional simple Lie algebra and the Weyl group. The convex hull of is defined as the weight polytope of . We provide a new p…
Bijection between Conjugacy Classes and Irreducible Representations of Finite Inverse Semigroups
Zhenheng Li, Zhuo Li
In this paper we show that the irreducible representations of a finite inverse semigroup over an algebraically closed field are in bijection with the conjugacy classes of $…