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.
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978-0-8218-5176-0 (9780821851760)
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Schweitzer Klassifikation
Introduction to representations in analytic cohomology by A. W. Knapp Admissible representations and geometry of flag manifolds by J. A. Wolf Unipotent representations and cohomological induction by D. A. Vogan, Jr. Introduction to Penrose transform by M. Eastwood Strongly harmonic differential forms on elliptic orbits by L. Barchini A finiteness theorem for quaternionic-Kahler manifolds with positive scalar curvature by C. LeBrun Holomorphic language for $\overline \partial$-cohomology and representations of real semisimple Lie groups by S. Gindikin Twistor theory for indefinite Kahler symmetric spaces by E. G. Dunne and R. Zierau Algebraic ${\mathcal D}$-modules and representation theory of semisimple Lie groups by D. Milicic Parabolic invariant theory and geometry by T. N. Bailey Kaehler structures on $K_{\mathbb C}/N$ by M.-K. Chuah and V. Guillemin Cousin complexes and resolutions of representations by J. W. Rice Dolbeault cohomologies and Zuckerman modules by H. W. Wong Unipotent representations and derived functor modules by D. Barbasch Unitarity of certain Dolbeault cohomology representations by R. Zierau.
