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The Kamiltonian Framework: A Clifford Algebra Construction for Bidirectional Temporal Dynamics
Amanda Lawson
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Advances in Applied Clifford Algebras, 2021
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P. Cerejeiras, M. Vajiac
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Cerejeiras, M. Vajiac
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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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2009 Second International Conference on Education Technology and Training, 2009
Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford Algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing ...
Wang Rui, Zhi Derui
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Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford Algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing ...
Wang Rui, Zhi Derui
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Clifford Algebras and Clifford Modules
1993We study bundles over a point, recalling the definition of the Clifford algebra Cl(V, q) of a real vector space V of dimension m equipped with a positive definite inner product q; the ℤ2-grading of Clifford algebras is shown, followed by an introduction of complex representations of Clifford algebras and the concept of complex Cl(V, q)-modules and of ...
Bernhelm Booß-Bavnbek +1 more
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Identities on Clifford algebras
Siberian Mathematical Journal, 2008Summary: We obtain some estimates of the codimensions and PI-exponents of identities on the Clifford algebras associated to a quadratic form of a given rank, find a hook where the cocharacters of Clifford algebras lie, exhibit an identity that holds on the Clifford algebras of a given rank, and describe the multilinear identities of minimal degree for ...
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1997
Abstract Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac’s equation for the electron at the other. Clifford algebras have become a
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Abstract Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac’s equation for the electron at the other. Clifford algebras have become a
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Variational algorithms for linear algebra
Science Bulletin, 2021Xiaosi Xu, Jinzhao Sun, Suguru Endo
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