论文标题
mod $ \ ell $ weil表示和deligne- lusztig归纳统一团体
Mod $\ell$ Weil representations and Deligne--Lusztig inductions for unitary groups
论文作者
论文摘要
我们研究有限统一组和相关deligne-lusztig归纳的mod $ \ ell $ weil代表。特别是，我们研究它们的分解为符号组的表示，并为$（\ Mathrm {sp} _ {2n}，\ Mathrm {o} _2^ - ）$（\ Mathrm {sp} _ {2n}的构建构建，包括$ p = 2 $。
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 $p=2$.
