isHomogeneousSpaceOf
P177987
predicate
Indicates that one mathematical space forms a homogeneous space under the transitive action of another (typically a group), meaning the acting structure moves any point of the space to any other point.
All labels observed (1)
| Label | Occurrences |
|---|---|
| isHomogeneousSpaceOf canonical | 4 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isHomogeneousSpaceOf
Generated description
Indicates that one mathematical space forms a homogeneous space under the transitive action of another (typically a group), meaning the acting structure moves any point of the space to any other point.
Sample triples (4)
| Subject | Object |
|---|---|
| Siegel upper half-space | real symplectic group Sp(2g,R) NERFINISHED ⓘ |
| Grassmann manifolds | general linear group NERFINISHED ⓘ |
| Grassmann manifolds | special orthogonal group NERFINISHED ⓘ |
| Grassmann manifolds | unitary group ⓘ |