Results 191 to 200 of about 1,958 (231)
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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
Classification of Extended Clifford Algebras
Russian Mathematics, 2018N G Marchuk, Marchuk N G
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Clifford‐ and Grassmann‐like algebras—Old and new
Journal of Mathematical Physics, 1985A K Kwaśniewski
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