Tag: planar-algebras

41 Why is there such a close resemblance between the unitary representation theory of the Virasoro algebra and that of the Temperley-Lieb algebra? 2011-07-17T22:28:50.600

23 Why are fusion categories interesting? 2009-11-19T21:52:58.547

15 ubiquity, importance of path algebras 2009-11-14T18:43:47.517

9 Short Introduction to Planar Algebras 2009-10-17T13:40:09.603

9 Which computer algebra system should I be using to solve large systems of sparse linear equations over a number field? 2009-10-25T20:14:03.840

8 Which presentations of (non)planar algebras give rise to knots? 2010-08-17T16:12:44.977

8 Are there only finitely many maximal irreducible amenable subfactors at fixed finite index? 2013-06-05T21:17:16.693

8 What's the detailed proof of "the composition of planar tangles is well-defined"? 2015-05-26T14:30:38.333

6 What is the subfactor planar algebra of type $\tilde{A}_n$, of index 4? 2011-03-16T16:18:25.577

5 What are some natural and attractive open problems in Jones's theory of planar algebras? 2010-12-10T16:54:34.617

5 Jordan-Hölder theorem for planar algebras? 2014-01-29T18:26:50.433

5 Are the integer index finite depth irreducible subfactors Kac-coideal? 2014-09-01T11:39:06.877

5 Is the Euler characteristic of a subfactor planar algebra, nonzero? 2017-03-22T23:55:31.993

5 A Schur-like product theorem on groups 2017-08-05T18:20:34.600

5 Are there examples of finite-dimensional weak Hopf C*-algebras with non-involutive antipode? 2018-01-14T10:44:16.343

4 Invertibility of the planar algebra-subfactor correspondence 2011-01-20T19:07:36.270

4 An embedding theorem for a fusion ring planar algebra? 2013-09-12T12:17:16.307

3 What's the natural equivalence of subfactors in general? 2013-07-11T14:39:41.347

3 Is the fundamental group of a maximal subfactor always $\mathbb{R}_{+}^{*}$? 2013-07-11T15:30:46.593

3 What are the first non-maximal non-group-subgroup simple irreducible subfactors? 2014-08-31T14:05:05.583

3 Is there a tangle encoding the fusion rules? 2014-12-27T17:46:19.717

2 Are every finitely generated planar algebras, also singly generated? 2013-11-21T14:28:01.337

2 Planar algebraic translation of a subfactor property 2013-12-09T11:35:56.470

2 Has a subfactor with lattice $B_3$, a singly generated identity biprojection? 2015-02-02T22:08:13.530

2 Can any finite lattice with at most six elements be realized as an intermediate subfactor lattice? 2015-02-08T13:17:37.370

2 A process generating series of new subfactors 2015-03-07T04:43:43.853

2 Are there infinitely many amenable Hadamard-Petrescu subfactors? 2015-04-10T16:28:12.857

1 The coproduct on the 2-boxes space of the group-subgroup subfactor planar algebras 2014-08-23T11:01:27.633

1 What's the relation between fusion and coproduct? 2014-08-23T14:12:38.053

1 Is a finite depth-index irreducible subfactor, intermediate of a depth ≤ 3 one? 2014-09-02T12:47:48.240

1 Is the coproduct of central operators, also central? 2014-12-08T13:00:26.203

1 Is there a Frobenius reciprocity for the coproduct? 2014-12-08T15:56:32.510

1 The planar algebra generated by the biprojections 2015-02-06T08:10:35.213

1 Is every irreducible subfactor planar algebra a quotient of the planar algebra of tangles? 2015-02-17T18:04:39.780

1 Skein theory: How axiomatizing a 2-box space? 2015-03-02T01:37:54.260

1 Are the two-side TLJ subfactors maximal? 2015-05-07T11:25:54.977

1 On the correspondence sub-N-N-bimodules and 2-box projections 2015-06-14T04:49:40.667

1 Is 6 the smallest index for an irreducible subfactor to have a principal graph with a multiplicity >1 edge? 2015-07-22T05:44:02.377

1 Can we build a subfactor planar algebra from one knot? 2015-08-13T20:15:39.197

1 Existence of a third intermediate if there are two intermediate subfactors of index 2 2016-09-13T01:54:26.100

1 Can a planar tangle have an infinite number of input disks? 2017-12-19T00:51:14.557

0 Is there an irreducible subfactor with an infinite homogeneous single chain lattice? 2015-02-23T18:31:24.693

0 A short problem with minimal projections and biprojections 2015-04-01T13:27:44.863

0 Chinese remainder theorem for cyclic subfactor planar algebras 2015-06-24T14:27:23.060

0 Generalization of the product formula on subfactors 2016-09-06T00:10:30.683

0 On index 2 and square of subfactors without extra intermediate 2016-09-22T06:11:24.143