Titlebook: Real Spinorial Groups; A Short Mathematical Sebastià Xambó-Descamps Book 2018 The Author(s), under exclusive licence to Springer Nature Swi

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SpringerBriefs in Mathematicshttp://image.papertrans.cn/r/image/822197.jpg

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Geometric Algebra,The aim of this chapter is to introduce the geometric algebra of a quadratic space (., .) by following an axiomatic approach. The root idea is to explore how to . enrich the structure (., .) 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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Orthogonal Geometry with GA,The aim of this chapter is to explore the remarkable way by which the isometry group O.?= O.(.) of an . (., .) and its most significant subgroups are accounted for by the formalism of the geometric algebra ..

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Zooming in on Rotor Groups,This chapter is devoted to a closer study of the rotor group .,and as a byproduct of its primacy (in the sense given to this expression in the last chapter), also of the other spinorial and orthogonal groups.

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