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Representation Theory and Analysis on Homogeneous Spaces
 
Edited by: Simon Gindikin Rutgers University, New Brunswick, NJ
Roe Goodman Rutgers University, New Brunswick, NJ
Frederick P. Greenleaf New York University-Courant Institute, New York, NY
Paul J. Sally, Jr. University of Chicago, Chicago, IL
Representation Theory and Analysis on Homogeneous Spaces
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
Representation Theory and Analysis on Homogeneous Spaces
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Representation Theory and Analysis on Homogeneous Spaces
Edited by: Simon Gindikin Rutgers University, New Brunswick, NJ
Roe Goodman Rutgers University, New Brunswick, NJ
Frederick P. Greenleaf New York University-Courant Institute, New York, NY
Paul J. Sally, Jr. University of Chicago, Chicago, IL
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
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1771994; 256 pp
    MSC: 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.

    Readership

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

  • Table of Contents
     
     
    • 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 ]
    • James Arthur — The trace Paley Wiener theorem for Schwartz functions [ MR 1303605 ]
    • 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 ]
    • R. P. Langlands and M.-A. Lafortune — Finite models for percolation [ MR 1303608 ]
    • Simon Gindikin, Roe Goodman, Frederick P. Greenleaf and Paul J. Sally, Jr. — Lawrence J. Corwin (1943–1992) [ MR 1303609 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1771994; 256 pp
MSC: 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.

Readership

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 ]
  • James Arthur — The trace Paley Wiener theorem for Schwartz functions [ MR 1303605 ]
  • 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 ]
  • R. P. Langlands and M.-A. Lafortune — Finite models for percolation [ MR 1303608 ]
  • Simon Gindikin, Roe Goodman, Frederick P. Greenleaf and Paul J. Sally, Jr. — Lawrence J. Corwin (1943–1992) [ MR 1303609 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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