Orthogonal and Symplectic Clifford Algebras: Spinor Structures (Mathematics and Its Applications)

A. Crumeyrolle

ISBN 10: 9048140595 / ISBN 13: 9789048140596

Editore: Springer, 1990

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368 pages. 9.00x6.00x0.83 inches. In Stock.

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Dati bibliografici

• Titolo: Orthogonal and Symplectic Clifford Algebras: Spinor Structures (Mathematics and Its Applications)
• Editore: Springer
• Data di pubblicazione: 1990
• Lingua: Inglese
• ISBN 10: 9048140595
• ISBN 13: 9789048140596
• Rilegatura: Paperback
• Condizione: Brand New
• Peso: 0,52 chilogrammi

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Contenuti

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.