4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
Orders of Finite Reductive Monoids
Zhuo Li, Zhenheng Li, You'an Cao
We show four formulas for calculating the orders of finite reductive monoids with zero. As applications, these formulas are then used to calculate the orders of finite reductive mo…
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…