A product in the Clifford Algebra an(2, αj , γij) and it’s applicactions

 

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Autors: Bolívar, Yanett, Cortez, María
Format: artículo original
Estat:Versión publicada
Data de publicació:2020
Descripció: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.
Pais:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/37284
Accés en línia:https://revistas.ucr.ac.cr/index.php/matematica/article/view/37284
Paraula clau:Clifford algebra
vector product
Leibniz formula
álgebra de Clifford
producto de vectores
fórmula de Leibniz