The Penrose Transform: Its Interaction with Representation Theory (Dover Books on Mathematics)

Book Details

• Author: Robert J. Baston

• Publisher: Dover

• Edition: Reprint

• Binding: Paperback

• ISBN: 9780486797298

• Pages: 227

• Release Date: 16-11-2016

• Dimensions: 8.9 x 6.0 x 0.7 inches

• Languages: English

About the Book

"Twistor Theory and the Penrose Transform" is a comprehensive yet accessible introduction to one of the most important areas in modern mathematical physics: twistor theory. The book presents an advanced exploration of the Penrose transform, a key geometrical tool developed by Roger Penrose. Despite the advanced nature of the subject, this work is designed for students of physics and mathematics with minimal familiarity with twistor theory and representation theory.

The book is divided into several chapters, each building on the previous one:

• The introductory chapter provides an overview of the Penrose transform's development.

• The following chapters cover Lie algebras, flag manifolds, and the Bott-Borel-Weil theorem, all essential concepts for understanding the theory's mathematical foundation.

• The work continues with in-depth discussions on representation theory, unitary representations, cohomology, and module structures, making it a thorough exploration of both theory and applications.

"Twistor Theory and the Penrose Transform" is ideal for those who are already familiar with some representation theory and wish to delve into twistor theory. The book also includes worked examples and further research suggestions, making it a valuable resource for both students and researchers.