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math.GR2008
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…
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…