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Orthogonal and Symplectic Clifford Algebras : Spinor Structures / by A. Crumeyrolle
(Mathematics and Its Applications ; 57)
版 | 1st ed. 1990. |
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出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 1990 |
本文言語 | 英語 |
大きさ | XIV, 350 p : online resource |
著者標目 | *Crumeyrolle, A author SpringerLink (Online service) |
件 名 | LCSH:Quantum physics LCSH:Geometry, Differential LCSH:Associative rings LCSH:Associative algebras FREE:Quantum Physics FREE:Differential Geometry FREE:Associative Rings and Algebras |
一般注記 | 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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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789401578776 |
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EB00232665 |
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データ種別 | 電子ブック |
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分 類 | LCC:QC173.96-174.52 DC23:530.12 |
書誌ID | 4000111371 |
ISBN | 9789401578776 |
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