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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, Jr., Roldão da Rocha, Jr.
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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 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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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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Finite-dimensional Clifford Algebras and Spinors
2001From the noncommutative geometric standpoint of Part III, commutative geometry and Clifford geometry are one and the same thing. So here we deal with their linear-algebraic and Lie-theoretic underpinnings, namely Clifford algebra. We chose not to dispense with it in this book, despite the existence of many excellent treatments, mainly for ease of ...
José M. Gracia-Bondía +2 more
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2001
In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron ...
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In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron ...
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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 algebraic spinor and the Dirac wave equations
Advances in Applied Clifford Algebras, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Xuegang, Zhang, Shuna, Huang, Qiunan
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Spinor representations of Clifford algebras: a symbolic approach
Computer Physics Communications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum spinors and spin groups from quantum Clifford algebras
Journal of Physics A: Mathematical and General, 1997Summary: A general construction of multiparametric quantum spinors and corresponding quantum \(\text{Spin}_\mu(2\nu-h,h)\) groups associated to \(2\nu\)-(Pseudo)-Euclidean spaces is presented, and their homomorphism to the respective \(SO_\mu\) groups is discussed.
Criscuolo, A. +3 more
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