**Contemporary Mathematics**

Volume: 177;
1994;
256 pp;
Softcover

MSC: Primary 22;
Secondary 60

Print ISBN: 978-0-8218-0300-4

Product Code: CONM/177

List Price: $59.00

Individual Member Price: $47.20

**Electronic ISBN: 978-0-8218-7768-5
Product Code: CONM/177.E**

List Price: $59.00

Individual Member Price: $47.20

# Representation Theory and Analysis on Homogeneous Spaces

Share this page *Edited by *
*Simon G Gindikin; Roe W Goodman; Frederick P. Greenleaf; Paul J. Sally*

Combining presentation of new results with in-depth surveys of recent work, this book focuses on representation theory and harmonic analysis on real and \(p\)-adic groups. The papers are based on lectures presented at a conference dedicated to the memory of Larry Corwin and held at Rutgers University in February 1993. The book presents a survey of harmonic analysis on nilpotent homogeneous spaces, results on multiplicity formulas for induced representations, new methods for constructing unitary representations of real reductive groups, and a unified treatment of trace Paley-Wiener theorems for real and \(p\)-adic reductive groups. In the representation theory of the general linear group over \(p\)-adic fields, the book provides a description of Corwin's contributions, a survey of the role of Hecke algebras, and a presentation of the theory of simple types. Other types of reductive \(p\)-adic groups are also discussed. Among the other topics included are the representation theory of discrete rational nilpotent groups, skew-fields associated to quadratic algebras, and finite models for percolation. A timely publication featuring contributions by some of the top researchers in the field, this book offers a perspective not often found in conference proceedings.

#### Table of Contents

# Table of Contents

## Representation Theory and Analysis on Homogeneous Spaces

- Contents ix10 free
- Introduction xi12 free
- Harmonic Analysis on Nilpotent Homogeneous Spaces 114 free
- Attributes and Applications of the Corwin-Greenleaf Multiplicity Function 2740
- On Unitary Representations of Some Discrete Rational Nilpotent Groups 4760
- The Work of Lawrence Corwin on the Representation Theory of Reductive p-adic Groups 5972
- Hecke Algebras and p-adic GLn 6578
- Whittaker Models with an Iwahori Fixed Vector 101114
- Simple Types in GL(N): Computing Conjugacy Classes 107120
- Hyperelliptic Curves and Harmonic Analysis 137150
- The Trace Paley Wiener Theorem for Schwartz Functions 171184
- Transfer of Unitary Representations Between Real Forms 181194
- Quadratic Algebras and Skew-Fields 217230
- Finite Models for Percolation 227240
- Lawrence J. Corwin 247260
- Conference on Representation Theory and Analysis on Homogeneous Spaces 253266

#### Readership

Graduate students and researchers in the area of representations and harmonic analysis on real and \(p\)-adic Lie groups.