hasHaarMeasure
P128197
predicate
Indicates that a given mathematical object (typically a topological group or related structure) admits a well-defined Haar measure, i.e., a translation-invariant measure on its measurable subsets.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasHaarMeasure canonical | 2 |
| HaarMeasure | 1 |
| hasInvariantMeasure | 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: hasHaarMeasure
Generated description
Indicates that a given mathematical object (typically a topological group or related structure) admits a well-defined Haar measure, i.e., a translation-invariant measure on its measurable subsets.
Sample triples (4)
| Subject | Object |
|---|---|
|
rotation group SU(2)
surface form:
SU(2)
|
finite ⓘ |
| U(1) | normalized Lebesgue measure on the circle ⓘ |
| p-adic analytic groups | Haar measure via predicate surface "hasInvariantMeasure" ⓘ |
|
special unitary group SU(n)
surface form:
SU(n)
|
admits a bi-invariant probability Haar measure via predicate surface "HaarMeasure" ⓘ |