dimensionAsLieGroup
P63678
predicate
Indicates the dimension of an entity when it is considered as a Lie group, i.e., the number of independent parameters defining the group manifold.
All labels observed (3)
| Label | Occurrences |
|---|---|
| dimensionAsComplexLieGroup | 1 |
| dimensionAsLieGroup canonical | 1 |
| dimensionAsRealManifold | 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: dimensionAsLieGroup
Generated description
Indicates the dimension of an entity when it is considered as a Lie group, i.e., the number of independent parameters defining the group manifold.
Sample triples (3)
| Subject | Object |
|---|---|
| Euclidean group | n(n+1)/2 ⓘ |
|
general linear group GL(n,C)
surface form:
GL(n,ℂ)
|
n² via predicate surface "dimensionAsComplexLieGroup" ⓘ |
|
general linear group GL(n,C)
surface form:
GL(n,ℂ)
|
2n² via predicate surface "dimensionAsRealManifold" ⓘ |