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arXiv · 2002.05872

Mod $\ell$ Weil representations and Deligne--Lusztig inductions for unitary groups

Naoki Imai·Takahiro Tsushima
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Abstract

We study the mod $\ell$ Weil representation of a finite unitary group and related Deligne--Lusztig inductions. In particular, we study their decomposition as representations of a symplectic group, and give a construction of a mod $\ell$ Howe correspondence for $(\mathrm{Sp}_{2n},\mathrm{O}_2^-)$ including the case where $p=2$.

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Naoki Imai, Takahiro Tsushima. 2020-02-14. Mod $\ell$ Weil representations and Deligne--Lusztig inductions for unitary groups. https://doi.org/10.1090/ert/685

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