Local reflexion spaces (Q2846608)

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scientific article; zbMATH DE number 6206680
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Local reflexion spaces
scientific article; zbMATH DE number 6206680

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    Local reflexion spaces (English)
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    9 September 2013
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    local reflexion space
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    flat Cartan geometry
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    local infinitesimal automorphisms
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    The aim of the paper is to define the notion of a reflection space following the works of \textit{O. Loos} [Math. Z. 99, 141--170 (1967; Zbl 0148.17403); Abh. Math. Semin. Univ. Hamb. 37, 160--179 (1972; Zbl 0239.55018)] on symmetric spaces in a purely local setup. The main result of the paper is a necessary and sufficient condition for such spaces to be locally homogeneous.
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