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math.GR2022
Forest-skein groups II: construction from homogeneously presented monoids
Arnaud Brothier
Inspired by the reconstruction program of conformal field theories of Vaughan Jones we recently introduced a vast class of so called forest-skein groups. They are built from a skei…
math.GR2022★ 1 cited
Jones' representations of R. Thompson's groups not induced by finite-dimensional ones
Arnaud Brothier, Dilshan Wijesena
Given any linear isometry from a Hilbert space to its square one can explicitly construct a so-called Pythagorean unitary representation of Richard Thompson's group F. We introduce…
math.GR2022
Forest-skein groups I: between Vaughan Jones' subfactors and Richard Thompson's groups
Arnaud Brothier
Vaughan Jones discovered unexpected connections between Richard Thompson's group and subfactor theory while attempting to construct conformal field theories (in short CFT). Among o…