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.