Results 141 to 150 of about 579 (182)
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Roots of algebraic equations and Clifford algebra
Advances in Applied Clifford Algebras, 1999The author investigates roots of real polynomials inside the real two-dimensional Clifford algebra with generator \(\varepsilon\), \(\varepsilon^2=1\), calling the elements of this algebra hyperbolic. The corresponding numbers of real and hyperbolic roots of a polynomial are calculated.
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Division Algebras, Clifford Algebras, Periodicity
Advances in Applied Clifford Algebras, 2018Periodicities in Clifford algebra theory of orders \(2,4,\) and \(8\) are well known. Starting from a result from lattice theory, in which a \(24\)-dimensional Leech lattice can be represented in the \(3\)-dimensional space with octonion components, the main goal of this paper is to prove that, by exploiting the octonion algebra, in Clifford algebra ...
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Clifford Bundles and Clifford Algebras
2004In view of General Relativity, it is necessary to study physical fields, including solutions of the Dirac equation, in curved spacetimes. It is generally believed that the study of Riemannian (positive definite) metrics (infinitesimal distance functions) will ultimately be relevant to the more directly physical problem of Lorentz signature metrics, via
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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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States of the Clifford Algebra
The Annals of Mathematics, 1964Shale, D., Stinespring, W. F.
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On Clifford Algebras and Their Representations
The Annals of Mathematics, 1948openaire +1 more source
ON A GENERALIZED CLIFFORD ALGEBRA
The Quarterly Journal of Mathematics, 1967openaire +2 more sources
Quaternion Typification of Clifford Algebra Elements
Advances in Applied Clifford Algebras, 2011Dmitry Shirokov
exaly
Development of the Method of Quaternion Typification of Clifford Algebra Elements
Advances in Applied Clifford Algebras, 2011Dmitry Shirokov
exaly