Orthogonal and Symplectic Clifford Algebras
Springer (Verlag)
978-0-7923-0541-5 (ISBN)
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.
Erscheint lt. Verlag | 28.2.1990 |
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Reihe/Serie | Mathematics and Its Applications ; 57 | Mathematics and Its Applications ; 57 |
Zusatzinfo | XIV, 350 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 156 x 234 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 0-7923-0541-8 / 0792305418 |
ISBN-13 | 978-0-7923-0541-5 / 9780792305415 |
Zustand | Neuware |
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