论文标题
结晶升降机和Steinberg-Winter定理的变体
Crystalline lifts and a variant of the Steinberg-Winter theorem
论文作者
论文摘要
令$ k/\ mathbb {q} _p $为有限扩展。对于所有不可约的表示形式$ \barρ：g_k \ to g（\ bar {\ mathbb {f}} _ p）_ p）$ proged y hodge-tate常规。我们还讨论了理性问题。我们证明了Steinberg-Winter定理的变体。
Let $K/\mathbb{Q}_p$ be a finite extension. For all irreducible representations $\barρ: G_K \to G(\bar{\mathbb{F}}_p)$ valued in a general reductive group $G$, we construct crystalline lifts of $\barρ$ which are Hodge-Tate regular. We also discuss rationality questions. We prove a variant of the Steinberg-Winter theorem along the way.
