TL;DRAbstract
In this article, we discuss the Clifford groups, the pin groups and the spin groups in universal Euclidean spaces. These groups are certain well chosen subgroups of Clifford algebras. By using Clifford algebra theory, we get the structure of these groups and the relationships among them, and also the Lie algebras of these groups.
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In this article, we discuss the Clifford groups, the pin groups and the spin groups in universal Euclidean spaces. These groups are certain well chosen subgroups of Clifford algebras. By using Clifford algebra theory, we get the structure of these groups and the relationships among them, and also the Lie algebras of these groups.
Keywords
Clifford algebraClassification of Clifford algebrasMathematicsSpin representationEuclidean geometryAlgebra over a fieldPure mathematicsGroup (periodic table)
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