Abstract
Clifford algebra associates to each n-dimensional vector space Rn a geometric algebra of dimension 2n—that is, a vector space of dimension 2n where not only the sum, but also the product of every two elements in the algebra is defined. Let e1,…,en be an orthonormal basis for Rn. Then the 2n canonical generators (basis vectors) of the Clifford algebra for Rn are denoted by the products:
Notice that there are \(\left( {_k^n} \right)\) products with exactly k factors, so there are a total of 2n products.
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Goldman, R. (2010). Clifford Algebras and Quaternions. In: Rethinking Quaternions. Synthesis Lectures on Computer Graphics and Animation. Springer, Cham. https://doi.org/10.1007/978-3-031-79549-7_12
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DOI: https://doi.org/10.1007/978-3-031-79549-7_12
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-79548-0
Online ISBN: 978-3-031-79549-7
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