Representations of automorphism groups of finite o-modules of rank two

Uri Onn

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Let o be a complete discrete valuation domain with finite residue field. In this paper we describe the irreducible representations of the groups Aut (M) for any finite o-module M of rank two. The main emphasis is on the interaction between the different groups and their representations. An induction scheme is developed in order to study the whole family of these groups coherently. The results obtained depend on the ring o in a very weak manner, mainly through the degree of the residue field. In particular, a uniform description of the irreducible representations of GL2 (o / p) is obtained, where p is the maximal ideal of o.

Original languageEnglish
Pages (from-to)2058-2085
Number of pages28
JournalAdvances in Mathematics
Volume219
Issue number6
DOIs
StatePublished - 20 Dec 2008

Keywords

  • Cuspidal representations
  • Harish-Chandra induction
  • Representations of automorphism groups of finite modules

ASJC Scopus subject areas

  • General Mathematics

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