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＜E-Book＞
Orthogonal and Symplectic Clifford Algebras : Spinor Structures / by A. Crumeyrolle
(Mathematics and Its Applications ; 57)

Edition	1st ed. 1990.
Publisher	(Dordrecht : Springer Netherlands : Imprint: Springer)
Year	1990
Language	English
Size	XIV, 350 p : online resource
Authors	*Crumeyrolle, A author SpringerLink (Online service)
Subjects	LCSH:Quantum physics LCSH:Geometry, Differential LCSH:Associative rings LCSH:Associative algebras FREE:Quantum Physics FREE:Differential Geometry FREE:Associative Rings and Algebras
Notes	Orthogonal and Symplectic Geometries -- Tensor Algebras, Exterior Algebras and Symmetric Algebras -- Orthogonal Clifford Algebras -- The Clifford Groups, the Twisted Clifford Groups and Their Fundamental Subgroups -- Spinors and Spin Representations -- Fundamental Lie Algebras and Lie Groups in the Clifford Algebras -- The Matrix Approach to Spinors in Three and Four-Dimensional Spaces -- The Spinors in Maximal Index and Even Dimension -- The Spinors in Maximal Index and Odd Dimension -- The Hermitian Structure on the Space of Complex Spinors—Conjugations and Related Notions -- Spinoriality Groups -- Coverings of the Complete Conformal Group—Twistors -- The Triality Principle, the Interaction Principle and Orthosymplectic Graded Lie Algebras -- The Clifford Algebra and the Clifford Bundle of a Pseudo-Riemannian Manifold. Existence Conditions for Spinor Structures -- Spin Derivations -- The Dirac Equation -- Symplectic Clifford Algebras and Associated Groups -- Symplectic Spinor Bundles—The Maslov Index -- Algebra Deformations on Symplectic Manifolds -- The Primitive Idempotents of the Clifford Algebras and the Amorphic Spinor Fiber Bundles -- Self-Dual Yang-Mills Fields and the Penrose Transform in the Spinor Context -- Symplectic Structures, Complex, Structures, Symplectic Spinors and the Fourier Transform HTTP:URL=https://doi.org/10.1007/978-94-015-7877-6

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