hasRepresentationTheoryProperty
P140358
predicate
Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasRepresentationTheory | 5 |
| hasRepresentationTheoryProperty canonical | 2 |
| hasUnitaryRepresentationsUsedIn | 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: hasRepresentationTheoryProperty
Generated description
Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
Sample triples (8)
| Subject | Object |
|---|---|
|
semisimple Lie groups
surface form:
semisimple Lie group
|
finite-dimensional representations are completely reducible ⓘ |
|
semisimple Lie groups
surface form:
semisimple Lie group
|
unitary dual is central object of harmonic analysis ⓘ |
| U(1) | all continuous irreducible unitary representations are 1-dimensional via predicate surface "hasRepresentationTheory" ⓘ |
| SO(2,d-1) | classification of fields on AdS_d via predicate surface "hasUnitaryRepresentationsUsedIn" ⓘ |
| Harada–Norton group | complex representations via predicate surface "hasRepresentationTheory" ⓘ |
| Drinfeld–Jimbo quantum groups | highest weight representations via predicate surface "hasRepresentationTheory" ⓘ |
| Drinfeld–Jimbo quantum groups | finite-dimensional representations via predicate surface "hasRepresentationTheory" ⓘ |
| Drinfeld–Jimbo quantum groups | integrable representations via predicate surface "hasRepresentationTheory" ⓘ |