Spinors are used extensively in physics. It is widely accepted that
they are more fundamental than tensors, and the easy way to see
this is through the results obtained in general relativity theory
by using spinors -- results that could not have been obtained by
using tensor methods only.
The foundation of the concept of spinors is groups; spinors
appear as representations of groups. This textbook expounds the
relationship between spinors and representations of groups. As is
well known, spinors and representations are both widely used in the
theory of elementary particles.
The authors present the origin of spinors from representation
theory, but nevertheless apply the theory of spinors to general
relativity theory, and part of the book is devoted to curved
space-time applications.
Based on lectures given at Ben Gurion University, this textbook
is intended for advanced undergraduate and graduate students in
physics and mathematics, as well as being a reference for
researchers.
General
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