Results 11 to 20 of about 266 (166)
Contractions on ranks and quaternion types in clifford algebras
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element.
Dmitry S Shirokov
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Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras
Journal of Mathematics, 2022 The shearlet transform is a promising and powerful time-frequency tool for analyzing nonstationary signals. In this article, we introduce a novel integral transform coined as the Clifford-valued shearlet transform on Cl(p,q) algebras which is designed to
Firdous A. Shah +2 more
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Topological preons from algebraic spinors
European Physical Journal C: Particles and Fields, 2021 It is demonstrated that many of the assumed rules that govern the structure of a previously proposed topological preon model, in which simple non-trivial braids consisting of three twisted ribbons are mapped to the first generation of leptons and quarks,
Niels G. Gresnigt
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Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
Nonlinear Analysis, 2022 The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
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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Advances in Applied Clifford Algebras, 2000 LaTeX2e, 28 pages, 3 ...
Heckenberger, I., Schüler, A.
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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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Representations of orthogonal and symplectic Yangians
Nuclear Physics B, 2021 Extended Yangian algebras of orthogonal and symplectic types are defined by the Yang-Baxter RLL relation involving the fundamental R-matrix with so(n) or sp(2m) symmetry. We study representations of highest weight characterized by weight function ratios.
D. Karakhanyan, R. Kirschner
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Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions
Concrete Operators, 2021 The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
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Partitions and Clifford algebras
European Journal of Combinatorics, 2008 Given the set $[n]$ = {1,...,$n$} for positive integer $n$, combinatorial properties of Clifford algebras are exploited to count partitions and non-overlapping partitions of . The result is recovery of Stirling numbers of the second kind, Bell numbers, and Bessel numbers.
René Schott, G. Stacey Staples
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