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math.RT2015
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…
math.RT2012
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…
math.RT2008
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…