The Theory Of Spinors

Book Details

• Author: Elie Cartan

• Brand: Dover

• Binding: Paperback

• Number of Pages: 192

• Release Date: 01-02-1981

• Languages: English

• ISBN: 9780486640709

About the Book

Elie Cartan’s Theory of Spinors is a seminal work in the study of spinors, providing a clear and geometrically grounded approach to these fundamental mathematical entities. This book delves into the theory of Lie groups and their applications to the field of spinors, a crucial area of study in both mathematics and physics.

Cartan, a pioneer in differential geometry, develops the theory using a geometric lens, allowing readers to understand the mathematical structures from a highly intuitive perspective. Key topics covered include:

• The theory of orthogonal Lie groups and their related counterparts, using both real and complex parameters, as well as indefinite metrics.

• A comprehensive exploration of the group of rotations in n-dimensional spaces.

• Detailed theory of spinors across various dimensions, offering insights into their intrinsic geometric properties.

• The mathematical framework of spinors in spaces of arbitrary dimensions, providing new perspectives on their geometric interpretation.

This work stands as a definitive reference for mathematicians, physicists, and advanced students who are seeking a deeper understanding of the geometric foundations of spinors and their significance in higher-dimensional spaces. The book's elegant approach to complex mathematical concepts makes it a valuable resource for those interested in the intersection of geometry and theoretical physics.