4 citations · 5 across the 8 of their papers we have counts for
8 papers
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 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…
The 1882 Conjugacy Classes of the First Basic Renner Monoid of Type E_6
Zhenheng Li, Zhuo Li
In this paper we find all conjugacy classes of the first basic Renner monoid of type E_6. They are listed in the tables of the paper.
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 $…
Conjugacy Classes of Renner Monoids
Zhuo Li, Zhenheng Li, You'an Cao
In this paper we describe conjugacy classes of a Renner monoid with unit group , the Weyl group. We show that every element in is conjugate to an element where $u\i…