4 citations · 5 across the 8 of their papers we have counts for
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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…
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…
Representations of the Renner Monoid
Zhuo Li, Zhenheng Li, You'an Cao
We describe irreducible representations and character formulas of the Renner monoids for reductive monoids, which generalizes the Munn-Solomon representation theory of rook monoids…