Results 61 to 70 of about 116 (103)
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1996
This lecture contains an introduction to Clifford algebra and a discussion of its relationship to the Lorentz, Poincare, and conformai groups. Here the Dirac spinor is defined to be an element of the carrier space of the representation of the Clifford algebra.
Crawford James P
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This lecture contains an introduction to Clifford algebra and a discussion of its relationship to the Lorentz, Poincare, and conformai groups. Here the Dirac spinor is defined to be an element of the carrier space of the representation of the Clifford algebra.
Crawford James P
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An Introduction to Clifford Algebras and Spinors
2016AbstractThis book is unique in the literature on spinors and Clifford algebras in that it is accessible to both students and researchers while maintaining a formal approach to these subjects. Besides thoroughly introducing several aspects of Clifford algebras, it provides the geometrical aspects underlying the Clifford algebras, as well as their ...
Jayme Vaz, Roldāo Da Rocha
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Clifford algebra and the propagation of K�hler spinors
International Journal of Theoretical Physics, 1995The author presents a detailed analysis of the spinor version of the Kähler equation. The tensor version of this equation was introduced by \textit{E. Kähler} [Rend. Mat. Appl., V. Ser. 21, 425-523 (1963; Zbl 0127.314)], and involves an inhomogeneous differential form which is naturally associated with a Clifford algebra. It may be of importance in the
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Gauge transformations of spinors within a Clifford algebraic structure
Journal of Physics A, 1999The paper consists of 6 sections and 2 appendices. Section 1 analyzes the notion of algebraic spinors as minimal left ideals of Clifford algebras. In section 2 gauge transformations are considered as two-sided equivalence transformations of a complete algebra, including the spinors.
R S Farwell, J S R Chisholm
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Quantum Clifford algebras from spinor representations
Journal of Mathematical Physics, 1996A general theory of quantum Clifford algebras is presented, based on a quantum generalization of the Cartan theory of spinors. We concentrate on the case when it is possible to apply the quantum-group formalism of bicovariant bimodules. The general theory is then singularized to the quantum SL(n,C) group case, to generate explicit forms for the whole ...
J David Vergara, Rosenbaum M
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Spinor spaces of Clifford algebras
Advances in Applied Clifford Algebras, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Jianwei, Huo, Xinxia
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Clifford algebras and Hestenes spinors
Foundations of Physics, 1993This article reviews Hestenes' work on the Dirac theory, where his main achievement is a real formulation of the theory within thereal Clifford algebra Cl 1,3 ≃ M2 (H). Hestenes invented first in 1966 hisideal spinors $$\phi \in Cl_{1,3 _2}^1 (
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The Algebraic Theory of Spinors and Clifford Algebras
1996This volume is the first in a projected series devoted to the mathematical and philosophical works of the late Claude Chevalley. It covers the main contributions by the author to the theory of spinors. Since its appearance in 1954, "The Algebraic Theory of Spinors" has been a much sought after reference.
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Clifford Algebras and Spinor Spaces
1992The aim of this chapter is to gather some basic results concerning real and complex Clifford algebras. All material covered is classical, exception made of the approach given in §§4.7 – 4.8 to the explicit realization of spinor space and a Hermitian structure on it.
R. Delanghe, F. Sommen, V. Souček
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