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Algebra de Clifford

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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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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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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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.
doaj   +1 more source

Metric clifford algebra [PDF]

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., Moya, A. M., Rodrigues Jr, W. A.   +2 more
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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., Moya, A. M., Rodrigues Jr, W. A.   +2 more
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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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Clifford Fuzzy Support Vector Machine for Regression and Its Application in Electric Load Forecasting of Energy System

Frontiers in Energy Research, 2021
Electric load forecasting is a prominent topic in energy research. Support vector regression (SVR) has extensively and successfully achieved good performance in electric load forecasting.
Rui Wang, Xiaoyi Xia, Yanping Li, Wenming Cao   +3 more
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The Stabilized Poincare-Heisenberg algebra: a Clifford algebra viewpoint [PDF]

, 2006
The stabilized Poincare-Heisenberg algebra (SPHA) is the Lie algebra of quantum relativistic kinematics generated by fifteen generators. It is obtained from imposing stability conditions after attempting to combine the Lie algebras of quantum mechanics ...
Grumiller D., Hestenes D., Khruschev V. V., Lounesto P., N. G. GRESNIGT, Nijenhuis A., P. F. RENAUD, P. H. BUTLER, Schutzhold R.   +8 more
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Skew Clifford algebras

Journal of Pure and Applied Algebra, 2019
We introduce a generalization, called a skew Clifford algebra, of a Clifford algebra, and relate these new algebras to the notion of graded skew Clifford algebra that was defined in 2010. In particular, we examine homogenizations of skew Clifford algebras, and determine which skew Clifford algebras can be homogenized to create Artin-Schelter regular ...
Cassidy, Thomas, Vancliff, Michaela
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