拟半稳定表示
Quasi-semi-stable representations
摘要：
设K为p-adic域，用G_K表示其绝对伽罗瓦群.设K_infty是K通过增加固定均匀化子的（p^n）次根而得到的扩张，G_ \infty是它的绝对伽罗瓦群.本文定义了G_ \infty的一类p-adic扭表示，称之为拟半稳定表示.我们证明了这些表示是“明确”描述的某一类别的线性代数对象。本文的结果可作为理解晶体中两个晶格的平行子结构的第一步。半稳定）伽罗瓦表示。
英文摘要：
Fix K a p-adic field and denote by G_K its absolute Galois group. Let K_infty be the extension of K obtained by adding (p^n)-th roots of a fixed uniformizer, and G_\infty its absolute Galois group. In this article, we define a class of p-adic torsion representations of G_\infty, named quasi-semi-stable. We prove that these representations are "explicitly" described by a certain category of linear algebra objects. The results of this note should be consider as a first step in the understanding of the structure of quotients of two lattices in a crystalline (resp. semi-stable) Galois representation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
