论文标题
朝向派生的Jacquet-Emerton模块函数
Towards the Derived Jacquet-Emerton Module Functor
论文作者
论文摘要
令$ g $为$ p $ - adic lie Group，与$ \ mathbb {q} _ {p} $相关的连接还原组相关联。让$ p $为$ g $的抛物线子组，让$ m $为$ p $的李维斯商。在本文中，我们从本地可允许的本地分析$ g $ -pressentations中定义了一个$δ$ - functor $ h^{\ star} j_ {p} $，以本质上可接受的本地分析$ m $ m $ m $ -MERTERTIONS的类别扩展了jacquet-emerton模块$ j_ $ j_ $ j_ p}。
Let $G$ be a $p$-adic Lie group associated to a connected reductive group over $\mathbb{Q}_{p}$. Let $P$ be a parabolic subgroup of $G$ and let $M$ be a Levi quotient of $P$. In this paper, we define a $δ$-functor $H^{\star}J_{P}$ from the category of admissible locally analytic $G$-representations to the category of essentially admissible locally analytic $M$-representations that extends the Jacquet-Emerton module functor $J_{P}$ defined by Emerton.
