isotropy group


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Related to isotropy group: Transitive group action, Faithful Group Action, Group Orbit, G-set, Transformation groups

isotropy group

[′ī·sə‚trō·pē ‚grüp]
(mathematics)
For an operation of a group G on a set S, the isotropy group of an element s of S is the set of elements g in G such that gs = s.
References in periodicals archive ?
3] = = SO(3, 2)/SO(3) x SO(2) whose H = SO(3) ~ SU(2) subgroup of the isotropy group (at the origin) K = SO(3) x x SO(2) acts on [S.
6] = SU(4)/U(3) = = SU(4)/SU(3) x U(1) whose subgroup SU(3) of the isotropy group (at the origin) K = SU(3) x U(1) acts on the internal symmetry space [CP.
It is only invariant under the isotropy group of the origin SO(5) x SO(2).