论文标题
局部分析通用的抛物线steinberg表示的扩展
Extensions of locally analytic generalized parabolic Steinberg representations
论文作者
论文摘要
令$ l $为$ \ mathbf {q} _p $的有限扩展名。 In this paper, we study the locally $\mathbf{Q}_p$-analytic generalized parabolic Steinberg representations of $\mathrm{GL}_n(L)$, and compute the $\mathrm{Ext}$-groups of locally $\mathbf{Q}_p$-analytic generalized parabolic Steinberg representations.他们携带Breuil的简单$ \ Mathcal {l} $ - 不变式，它在猜想的$ p $ p $ p $ - adic本地兰格兰兹通讯的自形一侧出现。
Let $L$ be a finite extension of $\mathbf{Q}_p$. In this paper, we study the locally $\mathbf{Q}_p$-analytic generalized parabolic Steinberg representations of $\mathrm{GL}_n(L)$, and compute the $\mathrm{Ext}$-groups of locally $\mathbf{Q}_p$-analytic generalized parabolic Steinberg representations. They carry the Breuil's simple $\mathcal{L}$-invariants, which arise in the automorphic side of a conjectured $p$-adic local Langlands correspondence.
