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math.RT2021
Some conditions from a finite regular semigroup to a finite inverse semigroup
Chun-Hui Wang
In 1978, Munn proved that a bounded complex representation of an inverse semigroup is semiunitary and completely reducible. We consider the converse question in the finite case. We…
math.RT2020
On the theta representations of finite inverse monoids
Chun-Hui Wang
(I) We study Clifford-Mackey-Rieffel's theory for finite monoid; (II) We prove some results of Theta Representations of finite inverse monoids.
math.RT2013
Weil representations over finite fields and Shintani lift
Guy Henniart, Chun-Hui Wang
Let Sp_V(F) be the group of isometries of a symplectic vector space V over a finite field F of odd cardinality. The group Sp_V(F) possesses distinguished representations--- the Wei…