Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
A product in the Clifford Algebra an(2, αj , γij) and it’s applicactions
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Keywords

Clifford algebra
vector product
Leibniz formula
álgebra de Clifford
producto de vectores
fórmula de Leibniz

How to Cite

Bolívar, Y., & Cortez, M. (2020). A product in the Clifford Algebra an(2, αj , γij) and it’s applicactions. Revista De Matemática: Teoría Y Aplicaciones, 27(2), 289–303. https://doi.org/10.15517/rmta.v27i2.37284

Abstract

Clifford algebras are associative and non-commutative algebras defined through certain multiplicative structures. In these algebras there is not always an explicit formula that allows expressing the product between the vectors of the base of the vector space, as it is proposed in the algebra An (see [6]). This research offers an explicit expression for the product of certain elements of the base of the algebra An(2, αj , γij ), which represents the opening to deduce calculations that yield new contributions in the Clifford analysis with parameters.

https://doi.org/10.15517/rmta.v27i2.37284
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