Ocneanu
E665084
Ocneanu is a mathematician known for his influential work in subfactor theory, quantum groups, and knot invariants, including contributions leading to the HOMFLY-PT polynomial.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Ocneanu canonical | 1 |
Statements (35)
| Predicate | Object |
|---|---|
| instanceOf |
mathematician
ⓘ
person ⓘ |
| associatedWith |
HOMFLY-PT polynomial
NERFINISHED
ⓘ
Jones polynomial NERFINISHED ⓘ planar algebras ⓘ von Neumann algebras NERFINISHED ⓘ |
| contributedTo |
relationship between subfactors and knot invariants
ⓘ
relationship between subfactors and quantum groups ⓘ relationship between subfactors and statistical mechanical models ⓘ understanding of index for subfactors ⓘ |
| fieldOfWork |
conformal field theory
ⓘ
knot theory ⓘ low-dimensional topology ⓘ operator algebras ⓘ quantum groups ⓘ subfactor theory ⓘ tensor categories ⓘ |
| hasConcept |
Ocneanu paragroup
NERFINISHED
ⓘ
connections between ADE classifications and subfactors ⓘ double triangle algebra ⓘ quantum symmetry of a subfactor ⓘ |
| hasImpactOn |
knot invariants in low-dimensional topology
ⓘ
mathematical physics ⓘ representation theory of quantum groups ⓘ topological quantum field theory ⓘ |
| influenced |
development of modern subfactor theory
ⓘ
fusion category theory ⓘ study of modular invariants in conformal field theory ⓘ theory of quantum symmetries ⓘ |
| notableFor |
classification of small-index subfactors
ⓘ
connections between subfactors and quantum groups ⓘ construction of paragroups ⓘ contributions to knot invariants ⓘ ideas leading to the HOMFLY-PT polynomial ⓘ work on subfactors of von Neumann algebras ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.