Results 1 to 10 of about 224 (141)
Momento, 1990 El algebra de Clifford (o algebra geometrical como lenguaje unificado para matemáticos y físicos ha adquirido auge en los últimos años y David Hestenes ha sido uno de sus grandes impulsores con trabajos de datan desde los años 60.
María Carolina Spinel G.
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Development of the Method of Averaging in Clifford Geometric Algebras
Mathematics, 2023 We develop the method of averaging in Clifford (geometric) algebras suggested by the author in previous papers. We consider operators constructed using two different sets of anticommuting elements of real or complexified Clifford algebras.
Dmitry Shirokov
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Real Clifford Algebras and Their Spinors for Relativistic Fermions
Universe, 2021 Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed.
Stefan Floerchinger
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The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Many of the asymmetric cryptography protocols are based on operations performed on commutative algebraic structures, which are vulnerable to quantum attacks.
Chukanov, Sergei N.
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The Essentials of Clifford Algebras with Maple Programming
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 Clifford algebra (geometric algebra) which has many applications in physics, robotics, CAD (Computer-Aided Design) /CAM (Computer-Aided Manufacture), computer graphics, image processing, etc. is one of the important subjects in mathematics. In this paper,
Mutlu Akar
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Advances in Applied Clifford Algebras, 2001 In this paper we introduce the concept of metric Clifford algebra $\mathcal{C\ell}(V,g)$ for a $n$-dimensional real vector space $V$ endowed with a metric extensor $g$ whose signature is $(p,q)$, with $p+q=n$. The metric Clifford product on $\mathcal{C\ell}(V,g)$ appears as a well-defined \emph{deformation}(induced by $g$) of an euclidean Clifford ...
Fernández, V. V. +2 more
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Square root of a multivector in 3D Clifford algebras
Nonlinear Analysis, 2020 The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
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Euclidean Clifford algebra [PDF]
Advances in Applied Clifford Algebras, 2001 Latex accent in author(s) was introduced Latex commands in abstract were ...
Fernández, V. V. +2 more
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Generalised Onsager Algebra in Quantum Lattice Models
SciPost Physics, 2022 The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph Temperley-Lieb algebra, and a generalisation of the Onsager ...
Yuan Miao
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Sobre grupos clásicos de la física matemática
Selecciones Matemáticas, 2020 Comenzando con las matrices introducidas por Pauli y Dirac en 1928, presentamos una versión amigable y unificada de los grupos clásicos de la Física Matemática como subgrupos de álgebras geométricas reales creadas por Clifford en 1879, la versión ...
Edgar Vera Saravia
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