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math.RT2025
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.RT2025
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.