homogeneous space

(redirected from Coset space)
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homogeneous space

[‚hä·mə′jē·nē·əs ′spās]
(mathematics)
A topological space having a group of transformations acting upon it, that is, a transformation group, where for any two points x and y some transformation from the group will send x to y.
References in periodicals archive ?
To give a natural definition for our second statistic, we must discuss the coset space [?
The poly-disc is a Hermitian symmetric homogeneous coset space associated with the 4D conformal group SO(4, 2) since [D.
m] cards labelled "m", then this corresponds precisely to the coset space of a Young subgroup,
The polydisc is a Hermitian symmetric homogeneous coset space associated with the 4D conformal group SO(4, 2) since [D.
Since the coset space SU(2)/U(1) is a double-cover of the [S.
It is to be noted that many well-known hypergroups forming wide classes as join spaces, weak cogroups, double coset spaces, polygroups and canonical hypergroups, including ordinary groups and also some geometrically motivated noncommutative hyperstructures are all transposition hypergroups.