isSimpleAsLieGroup
P78092
predicate
Indicates that a given Lie group has no nontrivial connected normal subgroups, i.e., it is simple in the sense of Lie group theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isSimpleAsLieGroup canonical | 2 |
| isSimpleFor | 2 |
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: isSimpleAsLieGroup
Generated description
Indicates that a given Lie group has no nontrivial connected normal subgroups, i.e., it is simple in the sense of Lie group theory.
Sample triples (4)
| Subject | Object |
|---|---|
| SU(3) | true ⓘ |
|
special linear group SL(n,R)
surface form:
SL(n,ℝ)
|
true for n ≥ 2 except low-dimensional isomorphisms ⓘ |
| SO(2,d-1) | d+1 ≥ 5 via predicate surface "isSimpleFor" ⓘ |
| PSL(2,ℤ/Nℤ) | N = p prime, p ≥ 5 via predicate surface "isSimpleFor" ⓘ |