Klein geometry

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English

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Etymology

Named after German mathematician Template:W (1849—1925). The concept arose from Klein's Template:W (published 1872).

Noun

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  1. Template:Lb A type of geometry (mathematical object representing a space and its spatial relationships); a homogeneous space X together with a symmetry group which represents the group action on X of some Lie group;
    Template:Lb an ordered pair (GH), where G is a Lie group and H a closed Lie subgroup of G such that the left coset space G / H is connected.
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  2. Template:Lb The coset space G / H.

Translations

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