Inversion and Clifford algebra (Q1842503)

This paper uses Clifford algebra to represent inversions in a flat Euclidean space, with emphasis on finding the fixed points of a composition of several inversions. The method may be contrasted with two constructions of a double covering of the conformal group using spin groups contained in the Clifford algebras, given by \textit{P. Lounesto} and \textit{E. Latvamaa} [Proc. Am. Math. Soc. 79, 533-538 (1980; Zbl 0433.15014)], and by \textit{A. Crumeyrolle} [Orthogonal and symplectic Clifford algebras (1990; Zbl 0701.53003)].