hasCentralExtension
P75140
predicate
Indicates that one algebraic structure is a central extension of another, meaning it fits into an exact sequence where the kernel lies in the center of the extending structure.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isCentralExtensionOf | 2 |
| hasCentralExtension canonical | 1 |
| isUniversalCentralExtensionOf | 1 |
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: hasCentralExtension
Generated description
Indicates that one algebraic structure is a central extension of another, meaning it fits into an exact sequence where the kernel lies in the center of the extending structure.
Sample triples (4)
| Subject | Object |
|---|---|
| Galilean group |
Galilean group
self-linksurface differs
ⓘ
surface form:
Bargmann group
|
| Heisenberg Lie algebra | abelian Lie algebra R^{2n} via predicate surface "isCentralExtensionOf" ⓘ |
| metaplectic group | symplectic group via predicate surface "isCentralExtensionOf" NERFINISHED ⓘ |
| SL(2,7) | PSL(2,7) via predicate surface "isUniversalCentralExtensionOf" NERFINISHED ⓘ |