The Penrose Transform: Its Interaction With Representation Theory - Couverture rigide

Livre 273 sur 303: Dover Books on Mathematics

Baston, Robert J.

 
9780198535652: The Penrose Transform: Its Interaction With Representation Theory

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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Présentation de l'éditeur

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.

Revue de presse

"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 TechnicalBooks, NY Public Library"Brings to the reader a huge amount of information, well organized and condensed into less than two hundred pages." --Mathematical Reviews

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Autres éditions populaires du même titre

9780486797298: The Penrose Transform: Its Interaction With Representation Theory

Edition présentée

ISBN 10 :  0486797295 ISBN 13 :  9780486797298
Editeur : Dover Publications Inc., 2016
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