Quadratic Tangles in Planar Algebras

Temperley, H. N. V. and Lieb. E. H. (1971). Relations between the “percolation” and “colouring” problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the “percolation” problem. Proceedings of the Royal Society A

1971

Earlier work this paper cites.

Jones, V. F. R. (1983). Index for subfactors. Inventiones Mathematicae

1983

Earlier work this paper cites.

Wenzl, H. (1987). On sequences of projections. Comptes Rendus Mathématiques, La Société Royale du Canada, L’Academie des Sciences

Original

1987

Earlier work this paper cites.

Goodman, F., de la Harpe, P. and Jones, V. F. R. (1989). Coxeter graphs and towers of algebras. MSRI Publications (Springer)

1989

Earlier work this paper cites.

Popa, S. (1990). Classification of subfactors: reduction to commuting squares. Inventiones Mathematicae

1990

Earlier work this paper cites.

Haagerup, U. (1994). Principal graphs of subfactors in the index range 4 < 3 + 2 4<3+\sqrt{2} . in Subfactors — Proceedings of the Taniguchi Symposium, Katata —

1994

Earlier work this paper cites.

Jones, V.F.R. (1994) An affine Hecke algebra quotient in the Brauer Algebra. l’Enseignement Mathematique

1994

Earlier work this paper cites.

Jones, V. F. R. (1994). The Potts model and the symmetric group. in Subfactors — Proceedings of the Taniguchi Symposium, Katata —

1994

Cited alongside, same era.

Popa, S. (1995). An axiomatization of the lattice of higher relative commutants of a subfactor. Inventiones Mathematicae

1995

Cited alongside, same era.

Bisch, D. and Jones, V. F. R. (1997). Algebras associated to intermediate subfactors. Inventiones Mathematicae

1997

Cited alongside, same era.

Evans, D. E. and Kawahigashi, Y. (1998). Quantum symmetries on operator algebras. Oxford University Press

1998

Cited alongside, same era.

Graham, J.J. and Lehrer, G.I. (1998) The representation theory of affine Temperley Lieb algebras. L’Enseignement Mathématique

1998

Cited alongside, same era.

Jones, V. F. R. (2001). The annular structure of subfactors. in Essays on geometry and related topics

2001

Later among the works it cites.

Jones, V. F. R. (2003) Quadratic tangles in planar algebras. In preparation: http://math.berkeley.edu/ vfr/

2003

Later among the works it cites.

Halverson, T. and Ram, A.(2005) Partition algebras. European Journal of Combinatorics

2005

Later among the works it cites.

Jones, V.F.R. and Reznikoff, S. (2006) Hilbert Space representations of the annular Temperley-Lieb algebra. Pacific Math Journal

2006

Later among the works it cites.

Grossman, P., and Jones, V.F.R.(2007) Intermediate subfactors with no extra structure. J. Amer. Math. Soc

2007

Later among the works it cites.

Peters, E. (2009) A planar algebra construction of the Haagerup subfactor