Principal homogeneous space
... mathematics, a principal homogeneous space, or G-torsor, for a group G is a set ... definition more explicitly, X is a G-torsor if there is a map (in the ... of as a left or right G-torsor under the natural action of left or ... In general the approach of taking the torsor theory, easy over an algebraically closed field ... cohomology H 1 . Other usage The term torsor is also used without the transitivity ...
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Talk:Orientation (rigid body)
... 2005 (UTC) If you know what a torsor is: the group of rotations is a torsor on the orientations. Basically this means they ...
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Principal bundle
... the structure of G-torsors. A G-torsor is a space which is homeomorphic to ... maps so as to preserve the G-torsor structure of the fibers. Specifically, this means ...
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User talk:Songian   (translated from Chinese)
... Its textile fiber isAnalysis situs groupGFunctionTurns sub-(torsor) (also is calledMain homogeneous space). HostGThe clump ... fiber meant the textile fiber hasTurns sub-(torsor) structure.GTurns sub- is the homographism inGThe ...
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Structural engineering   (translated from Portuguese)
... normal effort, cutting effort, fletor moment and torsor moment) are measured structural correspondents to the ... signals in the same section. Finally, the torsor moment tends to twist the part around ...
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Mouse 3d   (translated from French)
... it acts of one dispositif translating one torsor of effort, is a force and a ...
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Torque   (translated from French)
... G-torque (transl. literal of English G-torsor) a unit indicates on which a bi ...
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Orientation (mathematics)
... fancy language, B is a GL(V)-torsor). This means that as a manifold, B ...
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Representable functor
... is simply transitive (i.e. a G-torsor). Choosing a representation amounts to choosing an ...
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Gerbe
... group cohomology groups H i what the torsor concept does for H 1 . The terminology ...
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