Principal homogeneous space
id:
principal-homogeneous-space-245-15088155
title:
Principal homogeneous space
text:
In mathematics, a principal homogeneous space, or torsor, for a group G is a homogeneous space X for G in which the stabilizer subgroup of every point is trivial. Equivalently, a principal homogeneous space for a group G is a non-empty set X on which G acts freely and transitively.
An analogous definition holds in other categories, where, for example, G is a topological group, X is a topological space and the action is continuous,
G is a Lie group, X is a smooth manifold and the action is smooth
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Principal_homogeneous_space
date created:
date modified:
2024-04-04T01:58:59Z
main entity:
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image:
fields total:
13
integrity:
13