Real Algebras Associated with an Euclidean Space
Identifieur interne : 000269 ( Main/Exploration ); précédent : 000268; suivant : 000270Real Algebras Associated with an Euclidean Space
Auteurs : Roger Boudet [France]Source :
- SpringerBriefs in Physics ; 2011.
Abstract
Abstract: A construction of the Clifford algebra CI(E) associated with an euclidean space E is proposed. It is based on the Clifford products aA and Aa of a vector a of E and all element A of the Grassmann algebra of E, which include the inner product of E, these products being taken as definitions. One deduces then that a(Ab) = (aA)b, and so that CI(E) is an associative algebra. Its remarkable relation with the group O(E) is emphasized.
Url:
DOI: 10.1007/978-3-642-19199-2_14
Affiliations:
- France
- Languedoc-Roussillon, Occitanie (région administrative)
- Bassan, Marseille
- Université de Provence
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