Abstract

BOLIVAR, Yanett  and  CORTEZ, María. A product in the Clifford Algebra an(2, αj , γij) and it’s applicactions. Rev. Mat [online]. 2020, vol.27, n.2, pp.289-303. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v27i2.37284.

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.

Keywords : Clifford algebra; vector product; Leibniz formula..

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