Bibliography, p. 362-364.
|Statement||by Allan J. Silberger.|
|Series||Mathematical notes -- 23|
|The Physical Object|
|Pagination||iv, 371 p. ;|
|Number of Pages||371|
This paper is concerned with representations of split orthogonal and quasi-split unitary groups over a nonarchimedean local field which are not generic, but which support a unique model of a different kind, the generalized Bessel model. The properties of the Bessel models under induction are studied, and an analogue of Rodier's theorem concerning the induction of Whittaker models is proved Cited by: Chapter I. Analysis on proﬁnite groups 3 I Proposition. The ring Zp may be identiﬁed with the projective limit of the ﬁnite rings /pr. Proof. Any sequence of integers (xn) such that xn+1 ≡ n mod pn is a Cauchy sequence in the adic norm, and the equivalence class of the sequence depends only on the xn modulo pn. There is a very concrete way to represent padic numbers—every. THE MOD p REPRESENTATION THEORY OF p-ADIC GROUPS IntroductionandMotivation 1. p-adicgroups Thep-adicnumbers. Arationalnumberx2Q maybeuniquelywrittenasx= a b p nwitha, bandnnonzerointegerssuchthatp-ab. Wedeﬁneord p(x) = n,jxj p= p n,j0j p= 0. jj pdeﬁnesanFile Size: KB. In this dissertation, we combine the work of A. Aizenbud and D. Gourevitch on Schwartz functions on Nash manifolds, and the work of F. du Cloux on Schwartz inductions, to develop a toolbox of Schwartz analysis. We then use these tools to study the intertwining operators between parabolic inductions, and study the behavior of intertwining distributions on certain open subsets. Finally we use Author: Xinyu Liu.