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Softcover ISBN:  9780821851760 
Product Code:  CONM/154 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821877456 
Product Code:  CONM/154.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821851760 
eBook ISBN:  9780821877456 
Product Code:  CONM/154.B 
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Book DetailsContemporary MathematicsVolume: 154; 1993; 259 ppMSC: Primary 22; Secondary 32; 14; 53
This book contains refereed papers presented at the AMSIMSSIAM 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.
ReadershipResearchers 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 quaternionicKähler 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 ]

MengKiat 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 ]


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This book contains refereed papers presented at the AMSIMSSIAM 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.
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 quaternionicKähler 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 ]

MengKiat 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 ]