Теория алгебр Клиффорда и спиноров
The book deals with several actual branches of Clifford algebra theory. Clifford algebras are used in mathematics, physics, mechanics, engineering, signal processing, etc. We discuss in details a representation theory of Clifford algebras. Also we discuss the connection between spin and orthogonal groups, Pauli theorem. We develop a method of quaternion typification of Clifford algebra elements. We consider relations with unitary, pseudo-unitary and symplectic Lie groups. We consider theory of spinors, which is important for mathematical and theoretical physics.