A $p$-adic Perron–Frobenius theorem

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

2 A CERTAIN p - ADIC SPECTRAL THEOREM

3 ABSTRACT. We extend a p-adic spectral theorem of M. M. Vishik to a certain class of p-adic Banach algebras. This class includes inductive limits of finite-dimensional p-Banach algebras of the form B(X), where X is a p-adic Banach space of the form X ≃ Ω p (J), J being a finite nonempty set. In particular, we present a p-adic spectral theorem for p-adic UHF algebras and p-adic TUHF algebras (T...

متن کامل

A p-adic local monodromy theorem

We prove a local monodromy theorem for p-adic differential equations on an annulus, answering a question of R. Crew. Specifically, suppose given a finite free module over the Robba ring (the ring of germs of functions analytic on some open p-adic annulus with outer radius 1) with a connection and a compatible Frobenius structure. We prove that the module admits a basis over a finite extension o...

متن کامل

A KÜNNETH THEOREM FOR p-ADIC GROUPS

Let F be a non-Archimedean local field. LetG stand for the F -points of a connected reductive algebraic group defined over F . We will refer to G as a p-adic group, with the understanding that the base field F is fixed once and for all. We let R(G) denote the category of smooth complex representations of G. It is well known [1] that this is an abelian category and has enough projectives and hen...

متن کامل

SUBREPRESENTATION THEOREM FOR p-ADIC SYMMETRIC SPACES

The notion of relative cuspidality for distinguished representations attached to p-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet’s subrepresentation theorem to the relative case (symmetric space case) is established.

متن کامل

ON A p-ADIC VANISHING THEOREM OF GARLAND

Let k be any nonarchimedean locally compact field, with (say) q elements in its residue field. Let G be a simple, semisimple algebraic group defined over k, G the group of its A>rational points on G. Let / be the fc-rank of G. Suppose T to be a discrete subgroup of G such that V\G is compact, and V a finite-dimensional vector space over C on which T has a unitary representation. In [4], Garland...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Acta Arithmetica

سال: 2016

ISSN: 0065-1036,1730-6264

DOI: 10.4064/aa8285-4-2016