Planar algebra

http://dbpedia.org/resource/Planar_algebra an entity of type: Abstraction100002137

In mathematics, planar algebras first appeared in the work of Vaughan Jones on the standard invariant of a II1 subfactor. They also provide an appropriate algebraic framework for many knot invariants (in particular the Jones polynomial), and have been used in describing the properties of Khovanov homology with respect to tangle composition. Any subfactor planar algebra provides a family of unitary representations of Thompson groups.Any finite group (and quantum generalization) can be encoded as a planar algebra. rdf:langString
rdf:langString Planar algebra
xsd:integer 1694884
xsd:integer 1118027555
rdf:langString In mathematics, planar algebras first appeared in the work of Vaughan Jones on the standard invariant of a II1 subfactor. They also provide an appropriate algebraic framework for many knot invariants (in particular the Jones polynomial), and have been used in describing the properties of Khovanov homology with respect to tangle composition. Any subfactor planar algebra provides a family of unitary representations of Thompson groups.Any finite group (and quantum generalization) can be encoded as a planar algebra.
xsd:nonNegativeInteger 22113

data from the linked data cloud