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The Penrose Transform: Its Interaction with Representation Theory (Oxford Mathematical Monographs) - Hardcover
Book 272 of 302: Dover Books on Mathematics
Synopsis
During the past two decades Roger Penrose's twistor theory has been a continuing source of mathematical inspiration. It is an ambitious theory which aims to reformulate the foundations of physics using conformal and complex geometry. At the heart of twistor theory lies a geometrical transform now known as the Penrose transform. This book is an exposition of this transform in a fairly general setting. This setting is provided by complex homogeneous spaces and mathematical input is taken from the representation theory of Lie groups. The book consists mostly of original research not available elsewhere and is intended for physicists and mathematicians with interests in geometry and symmetry. Whilst the material is presented in full generality, there are many examples throughout and special attention is directed towards the twistor theory of Minkowski space.
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Review
"Roger Penrose is the developer of twistor theory, a geometrical study of conformally invariant physics in four spacetime dimensions. The work is an addition to the growing body of contemporary research in the area. For research collections in mathematics and mathematical collections." New Technical Books, NY Public Library"Brings to the reader a huge amount of information, well organized and condensed into less than two hundred pages." --Mathematical Reviews
About the Author
Robert J. Baston was on the faculty of The Mathematical Institute, University of Oxford. Michael G. Eastwood is Professor of Mathematics at the Mathematical Sciences Institute, Australian National University, Canberra.
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The Penrose Transform Its Interaction with Representation Theory
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Oxford University Press, Oxford, 1989
ISBN 10: 0198535651
ISBN 13: 9780198535652
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Hard Cover. Condition: Good. No Jacket. First Edition. From an academic library with the usual stamps etc. Seller Inventory # OX3979
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The Penrose Transform: Its Interaction with Representation Theory (Oxford Mathematical Monographs)
Published by
Oxford University Press, 1990
ISBN 10: 0198535651
ISBN 13: 9780198535652
Used
Hardcover
Seller: Alplaus Books, Alplaus, NY, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Good. Hardbound without dust jacket. No markings of text noted; modest exterior wear. Seller Inventory # 39990a
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The Penrose Transform: Its Interaction with Representation Theory
Published by
Oxford At the Clarendon Press, London, England, 1989
ISBN 10: 0198535651
ISBN 13: 9780198535652
Used
Hardcover
First Edition
Seller: Black Cat Hill Books, Oregon City, OR, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Very Good+. Dust Jacket Condition: No Dust Jacket. First Edition; First Printing. Very Good+: shows mild wear to the extremities; the mildest rubbing to the panels; a couple of small faint stains at the bottom edge of the text block; the binding remains square and secure; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome copy, structurally sound and tightly bound, showing minor, unobtrusive imperfections. Bright and clean. NOT a Remainder, Book-Club, or Ex-Library. 8vo (9.5 x 6.35 x 0.75 inches) . Language: English. Weight: 18.4 ounces. Oxford Mathematical Monographs Series. Classic Oxford Blue cloth over boards with gilt titles on a bright crimson field at the blackstrip and gilt and red titles at the front panel. Hardcover: Lacks DJ. Roger Penrose is well known to the educated public from his book, "The Emperor's New Mind", where he mused on the physical origin of consciousness. Whether you agreed with that or not, you should be aware that prior to that book, he was well reknowned in mathematics and theoretical physics. Penrose made his name with groundbreaking papers on twistor theory, where he posited a conformally invariant physics in the 4 dimensions of spacetime. He found a mapping between a field equation in physics and a projective space that was later called by others the Penrose Transform. This book extends that work by making a generalisation of the transform so that twistors can be applied to higher dimensional spaces. This may be of interest to you, if you study superstrings or supergravity. There, our mundane spacetime is subsumed in a much larger space. You need to be familiar with the theory of continuous groups and Dynkin diagrams to use this book fruifully. (refer to Wybourne's "Classical Groups for Physicists" for good preparation) The level of development is quite advanced. During the past two decades, Roger Penrose's twistor theory has been a continuing source of mathematical inspiration. This ambitious theory aims to reformulate the foundations of physics using conformal and complex geometry. At the heart of twistor theory lies a geometrical transform know as the Penrose transform. This book provides coverage of this transform in a general setting, utilizing complex homogeneous spaces, with mathematical input taken from the representation theory of Lie groups. The Penrose Transform gives readers much original research that is not available in any other text, with special attention to the twistor theory of Minkowski space. ; Oxford Mathematical Monographs; Large 8vo 9" - 10" tall; xv, 213 pages. Seller Inventory # 59221
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The Penrose Transform: Its Interaction With Representation Theory (Oxford Mathematical Monographs)
Published by
Oxford. Clarendon Press., 1989
ISBN 10: 0198535651
ISBN 13: 9780198535652
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The Penrose Transform: Its Interaction with Representation Theory (Oxford Mathematical Monographs)
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Oxford University Press, 1990
ISBN 10: 0198535651
ISBN 13: 9780198535652
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The Penrose Transform: Its Interaction With Representation Theory (Oxford Mathematical Monographs) Baston, Robert J. and Michael G. Eastwood
Published by
Oxford. Clarendon Press., 1989
ISBN 10: 0198535651
ISBN 13: 9780198535652
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Hardcover
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Condition: gut. 1989. The Penrose Transform: Its Interaction With Representation Theory (Oxford Mathematical Monographs) In englischer Sprache. pages. Seller Inventory # BN485031