论文标题
在不符合的不可减至的modulo $ p $表示$ gl_ {2}(\ mathbb {q} _ {p^{2}})$上
On non-admissible irreducible modulo $p$ representations of $GL_{2}(\mathbb{Q}_{p^{2}})$
论文作者
论文摘要
我们使用附上$ 2 $维的可还原的拆分mod mod $ p $ p $ galois表示的钻石图的表示(\ overline {\ mathbb {\ mathbb {q} _ {p}}}}/\ mathbb {q} $ gl_ {2}(\ mathbb {q} _ {p^{2}})$ sell Daniel Le的方法。
We use a Diamond diagram attached to a $2$-dimensional reducible split mod $p$ Galois representation of $\mathrm{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p^{2}})$ to construct a non-admissible smooth irreducible mod $p$ representation of $GL_{2}(\mathbb{Q}_{p^{2}})$ following the approach of Daniel Le.