Orthogonal and Symplectic Clifford Algebras

Chapter 1 Orthogonal and Symplectic Geometries

Chapter 2 Tensor Algebras, Exterior Algebras and Symmetric Algebras

Chapter 3 Orthogonal Clifford Algebras

Chapter 4 The Clifford Groups, the Twisted Clifford Groups and Their Fundamental Subgroups

Chapter 5 Spinors and Spin Representations

Chapter 6 Fundamental Lie Algebras and Lie Groups in the Clifford Algebras

Chapter 7 The Matrix Approach to Spinors in Three and Four-Dimensional Spaces

Chapter 8 The Spinors in Maximal Index and Even Dimension

Chapter 9 The Spinors in Maximal Index and Odd Dimension

Chapter 10 The Hermitian Structure on the Space of Complex Spinors—Conjugations and Related Notions

Chapter 11 Spinoriality Groups

Chapter 12 Coverings of the Complete Conformal Group—Twistors

Chapter 13 The Triality Principle, the Interaction Principle and Orthosymplectic Graded Lie Algebras

Chapter 14 The Clifford Algebra and the Clifford Bundle of a Pseudo-Riemannian Manifold. Existence Conditions for Spinor Structures

Chapter 15 Spin Derivations

Chapter 16 The Dirac Equation

Chapter 17 Symplectic Clifford Algebras and Associated Groups

Chapter 18 Symplectic Spinor Bundles—The Maslov Index

Chapter 19 Algebra Deformations on Symplectic Manifolds

Chapter 20 The Primitive Idempotents of the Clifford Algebras and the Amorphic Spinor Fiber Bundles

Chapter 21 Self-Dual Yang-Mills Fields and the Penrose Transform in the Spinor Context

Chapter 22 Symplectic Structures, Complex, Structures, Symplectic Spinors and the Fourier Transform

Chapter 23 Bibliography