Geometric Algebra

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Abstract

The aim of this chapter is to introduce the geometric algebra of a quadratic space (E, q) by following an axiomatic approach. The root idea is to explore how to minimally enrich the structure (E, q) so that vectors can be multiplied with the usual rules of an algebra, and that non-isotropic vectors can be inverted.

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APA

Xambó-Descamps, S. (2018). Geometric Algebra. In SpringerBriefs in Mathematics (pp. 41–61). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-030-00404-0_3

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