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The Penrose Transform

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The Penrose Transform

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Author : Robert J. Baston
language : en
Publisher: Courier Dover Publications
Release Date : 2016-11-16

The Penrose Transform written by Robert J. Baston and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-16 with Mathematics categories.

"Brings to the reader a huge amount of information, well organized and condensed into less than two hundred pages." — Mathematical Reviews In recent decades twistor theory has become an important focus for students of mathematical physics. Central to twistor theory is the geometrical transform known as the Penrose transform, named for its groundbreaking developer. Geared toward students of physics and mathematics, this advanced text explores the Penrose transform and presupposes no background in twistor theory and a minimal familiarity with representation theory. An introductory chapter sketches the development of the Penrose transform, followed by reviews of Lie algebras and flag manifolds, representation theory and homogeneous vector bundles, and the Weyl group and the Bott-Borel-Weil theorem. Succeeding chapters explore the Penrose transform in terms of the Bernstein-Gelfand-Gelfand resolution, followed by worked examples, constructions of unitary representations, and module structures on cohomology. The treatment concludes with a review of constructions and suggests further avenues for research.

The Penrose Transform And Its Applications

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Author : Liana David
language : en
Publisher:
Release Date : 2004

The Penrose Transform And Its Applications written by Liana David and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

The Penrose Transform And Analytic Cohomology In Representation Theory

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Author : Michael G. Eastwood
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

The Penrose Transform And Analytic Cohomology In Representation Theory written by Michael G. Eastwood and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

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 would serve as an excellent introduction.