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math.RT2020
Mod Weil representations and Deligne--Lusztig inductions for unitary groups
Naoki Imai, Takahiro Tsushima
We study the mod Weil representation of a finite unitary group and related Deligne--Lusztig inductions. In particular, we study their decomposition as representations of a s…
math.RT2019★ 2 cited
Shintani lifts for Weil representations of unitary groups over finite fields
Naoki Imai, Takahiro Tsushima
We construct extended Weil representations of unitary groups over finite fields geometrically, and show that they are Shintani lifts for Weil representations.
math.RT2018★ 10 cited
Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences
Naoki Imai, Takahiro Tsushima
We give a geometric construction of the Heisenberg-Weil representation of a finite unitary group by the middle étale cohomology of an algebraic variety over a finite field, whose r…