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The Penrose Transform and Analytic Cohomology in Representation Theory
 
The Penrose Transform and Analytic Cohomology in Representation Theory
Softcover ISBN:  978-0-8218-5176-0
Product Code:  CONM/154
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7745-6
Product Code:  CONM/154.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5176-0
eBook: ISBN:  978-0-8218-7745-6
Product Code:  CONM/154.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
The Penrose Transform and Analytic Cohomology in Representation Theory
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The Penrose Transform and Analytic Cohomology in Representation Theory
Softcover ISBN:  978-0-8218-5176-0
Product Code:  CONM/154
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7745-6
Product Code:  CONM/154.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5176-0
eBook ISBN:  978-0-8218-7745-6
Product Code:  CONM/154.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1541993; 259 pp
    MSC: Primary 22; Secondary 32; 14; 53

    This book contains refereed papers presented at the AMS-IMS-SIAM Summer Research Conference on the Penrose Transform and Analytic Cohomology in Representation Theory held in the summer of 1992 at Mount Holyoke College. The conference brought together some of the top experts in representation theory and differential geometry. One of the issues explored at the conference was the fact that various integral transforms from representation theory, complex integral geometry, and mathematical physics appear to be instances of the same general construction, which is sometimes called the “Penrose transform”. There is considerable scope for further research in this area, and this book serves as an excellent introduction.

    Readership

    Researchers and graduate students in representation theory and differential geometry.

  • Table of Contents
     
     
    • Articles
    • A. W. Knapp — Introduction to representations in analytic cohomology [ MR 1246374 ]
    • Joseph A. Wolf — Admissible representations and geometry of flag manifolds [ MR 1246375 ]
    • David A. Vogan, Jr. — Unipotent representations and cohomological induction [ MR 1246376 ]
    • Michael Eastwood — Introduction to Penrose transform [ MR 1246377 ]
    • L. Barchini — Strongly harmonic differential forms on elliptic orbits [ MR 1246378 ]
    • Claude LeBrun — A finiteness theorem for quaternionic-Kähler manifolds with positive scalar curvature [ MR 1246379 ]
    • Simon Gindikin — Holomorphic language for $\overline \partial $-cohomology and representations of real semisimple Lie groups [ MR 1246380 ]
    • Edward G. Dunne and Roger Zierau — Twistor theory for indefinite Kähler symmetric spaces [ MR 1246381 ]
    • Dragan Miličić — Algebraic ${\scr D}$-modules and representation theory of semisimple Lie groups [ MR 1246382 ]
    • Toby N. Bailey — Parabolic invariant theory and geometry [ MR 1246383 ]
    • Meng-Kiat Chuah and Victor Guillemin — Kaehler structures on $K_{\bf C}/N$ [ MR 1246384 ]
    • John W. Rice — Cousin complexes and resolutions of representations [ MR 1246385 ]
    • H. W. Wong — Dolbeault cohomologies and Zuckerman modules [ MR 1246386 ]
    • Dan Barbasch — Unipotent representations and derived functor modules [ MR 1246387 ]
    • Roger Zierau — Unitarity of certain Dolbeault cohomology representations [ MR 1246388 ]
  • 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: 1541993; 259 pp
MSC: Primary 22; Secondary 32; 14; 53

This book contains refereed papers presented at the AMS-IMS-SIAM Summer Research Conference on the Penrose Transform and Analytic Cohomology in Representation Theory held in the summer of 1992 at Mount Holyoke College. The conference brought together some of the top experts in representation theory and differential geometry. One of the issues explored at the conference was the fact that various integral transforms from representation theory, complex integral geometry, and mathematical physics appear to be instances of the same general construction, which is sometimes called the “Penrose transform”. There is considerable scope for further research in this area, and this book serves as an excellent introduction.

Readership

Researchers and graduate students in representation theory and differential geometry.

  • Articles
  • A. W. Knapp — Introduction to representations in analytic cohomology [ MR 1246374 ]
  • Joseph A. Wolf — Admissible representations and geometry of flag manifolds [ MR 1246375 ]
  • David A. Vogan, Jr. — Unipotent representations and cohomological induction [ MR 1246376 ]
  • Michael Eastwood — Introduction to Penrose transform [ MR 1246377 ]
  • L. Barchini — Strongly harmonic differential forms on elliptic orbits [ MR 1246378 ]
  • Claude LeBrun — A finiteness theorem for quaternionic-Kähler manifolds with positive scalar curvature [ MR 1246379 ]
  • Simon Gindikin — Holomorphic language for $\overline \partial $-cohomology and representations of real semisimple Lie groups [ MR 1246380 ]
  • Edward G. Dunne and Roger Zierau — Twistor theory for indefinite Kähler symmetric spaces [ MR 1246381 ]
  • Dragan Miličić — Algebraic ${\scr D}$-modules and representation theory of semisimple Lie groups [ MR 1246382 ]
  • Toby N. Bailey — Parabolic invariant theory and geometry [ MR 1246383 ]
  • Meng-Kiat Chuah and Victor Guillemin — Kaehler structures on $K_{\bf C}/N$ [ MR 1246384 ]
  • John W. Rice — Cousin complexes and resolutions of representations [ MR 1246385 ]
  • H. W. Wong — Dolbeault cohomologies and Zuckerman modules [ MR 1246386 ]
  • Dan Barbasch — Unipotent representations and derived functor modules [ MR 1246387 ]
  • Roger Zierau — Unitarity of certain Dolbeault cohomology representations [ MR 1246388 ]
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
Please select which format for which you are requesting permissions.