Electronic ISBN:  9781470401757 
Product Code:  MEMO/124/590.E 
List Price:  $44.00 
MAA Member Price:  $39.60 
AMS Member Price:  $26.40 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 124; 1996; 100 ppMSC: Primary 22;
This memoir studies reducibility in a certain class of induced representations for \(Sp_{2n}(F)\) and \(SO_{2n+1}(F)\), where \(F\) is \(p\)adic. In particular, it is concerned with representations obtained by inducing a onedimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadić, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.
ReadershipGraduate students and research mathematicians interested in topological groups, Lie groups.

Table of Contents

Chapters

1. Introduction

2. Notation and preliminaries

3. Components: Useful special cases

4. Reducibility points

5. Components: The “ramified” case

6. Components: The “unramified” case

7. Composition series


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This memoir studies reducibility in a certain class of induced representations for \(Sp_{2n}(F)\) and \(SO_{2n+1}(F)\), where \(F\) is \(p\)adic. In particular, it is concerned with representations obtained by inducing a onedimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadić, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.
Graduate students and research mathematicians interested in topological groups, Lie groups.

Chapters

1. Introduction

2. Notation and preliminaries

3. Components: Useful special cases

4. Reducibility points

5. Components: The “ramified” case

6. Components: The “unramified” case

7. Composition series