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Gauge transformations of spinors within a Clifford algebraic structure
The 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.
Chisholm, J. S. R., Farwell, R. S.
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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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Geometry of the Hyperbolic Spinors Corresponding to Alternative Frame
In this paper, we study to express the theory of curves including a wide section of Lorentzian geometry in terms of spinors with two hyperbolic components which has an important place in the Clifford algebra.
Tulay Erişir +2 more
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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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This volume contains a facsimile reproduction of Marcel Riesz's notes of a set of lectures he delivered at the University of Maryland, College Park, between October 1957 and January 1958, which has not been formally published to date This seminal ...
Lounesto, Pertti, Bolinder, E
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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.
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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.
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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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