Penrose Transform Its Interaction with Representation Theory

Name: Penrose Transform Its Interaction with Representation Theory
Price: 66.82 USD
Availability: InStock
ISBN: 9780198535652

ISBN-10: 0198535651

ISBN-13: 9780198535652

Edition: 1989

Authors: Robert J. Baston, Michael G. Eastwood

List price: $88.00

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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.

Book details

List price: $88.00
Copyright year: 1989
Publisher: Oxford University Press, Incorporated
Publication date: 1/4/1990
Binding: Hardcover
Pages: 228
Size: 6.38" wide x 9.50" long x 0.80" tall
Weight: 1.188
Language: English




Introduction



Lie Algebras and Flag Manifolds



Homogeneous Vector Bundles on G/P



The Weyl Group, its Actions, and Hasse Diagrams



The Bott-Borel-Weil Theorem



Realizations of G/P



The Penrose Transform



The Bernstein-Gelfand-Gelfand Resolution



The Penrose Transformation in Practice



Constructing Unitary Representations



Module Structures on Cohomology



Conclusion and Outlook