| eBook ISBN: | 978-0-8218-7768-5 |
| Product Code: | CONM/177.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7768-5 |
| Product Code: | CONM/177.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 177; 1994; 256 ppMSC: Primary 22; Secondary 60
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.
ReadershipGraduate students and researchers in the area of representations and harmonic analysis on real and \(p\)-adic Lie groups.
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Table of Contents
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Articles
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F. P. Greenleaf — Harmonic analysis on nilpotent homogeneous spaces [ MR 1303597 ]
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Ronald L. Lipsman — Attributes and applications of the Corwin-Greenleaf multiplicity function [ MR 1303598 ]
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Carolyn Pfeffer Johnston — On unitary representations of some discrete rational nilpotent groups [ MR 1303599 ]
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Paul J. Sally, Jr. — The work of Lawrence Corwin on the representation theory of reductive $p$-adic groups
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Roger Howe — Hecke algebras and $p$-adic ${\rm GL}_n$ [ MR 1303601 ]
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Dan Barbasch and Allen Moy — Whittaker models with an Iwahori fixed vector [ MR 1303602 ]
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Colin J. Bushnell and Philip C. Kutzko — Simple types in ${\rm GL}(N)$: computing conjugacy classes [ MR 1303603 ]
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Thomas C. Hales — Hyperelliptic curves and harmonic analysis (why harmonic analysis on reductive $p$-adic groups is not elementary) [ MR 1303604 ]
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James Arthur — The trace Paley Wiener theorem for Schwartz functions [ MR 1303605 ]
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Nolan R. Wallach — Transfer of unitary representations between real forms [ MR 1303606 ]
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L. J. Corwin, I. M. Gel′fand and Roe Goodman — Quadratic algebras and skew-fields [ MR 1303607 ]
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R. P. Langlands and M.-A. Lafortune — Finite models for percolation [ MR 1303608 ]
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Simon Gindikin, Roe Goodman, Frederick P. Greenleaf and Paul J. Sally, Jr. — Lawrence J. Corwin (1943–1992) [ MR 1303609 ]
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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.
Graduate students and researchers in the area of representations and harmonic analysis on real and \(p\)-adic Lie groups.
-
Articles
-
F. P. Greenleaf — Harmonic analysis on nilpotent homogeneous spaces [ MR 1303597 ]
-
Ronald L. Lipsman — Attributes and applications of the Corwin-Greenleaf multiplicity function [ MR 1303598 ]
-
Carolyn Pfeffer Johnston — On unitary representations of some discrete rational nilpotent groups [ MR 1303599 ]
-
Paul J. Sally, Jr. — The work of Lawrence Corwin on the representation theory of reductive $p$-adic groups
-
Roger Howe — Hecke algebras and $p$-adic ${\rm GL}_n$ [ MR 1303601 ]
-
Dan Barbasch and Allen Moy — Whittaker models with an Iwahori fixed vector [ MR 1303602 ]
-
Colin J. Bushnell and Philip C. Kutzko — Simple types in ${\rm GL}(N)$: computing conjugacy classes [ MR 1303603 ]
-
Thomas C. Hales — Hyperelliptic curves and harmonic analysis (why harmonic analysis on reductive $p$-adic groups is not elementary) [ MR 1303604 ]
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James Arthur — The trace Paley Wiener theorem for Schwartz functions [ MR 1303605 ]
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Nolan R. Wallach — Transfer of unitary representations between real forms [ MR 1303606 ]
-
L. J. Corwin, I. M. Gel′fand and Roe Goodman — Quadratic algebras and skew-fields [ MR 1303607 ]
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R. P. Langlands and M.-A. Lafortune — Finite models for percolation [ MR 1303608 ]
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Simon Gindikin, Roe Goodman, Frederick P. Greenleaf and Paul J. Sally, Jr. — Lawrence J. Corwin (1943–1992) [ MR 1303609 ]
