2 citations · 2 across the 5 of their papers we have counts for
5 papers
The Potts Model with a Reflecting Boundary
Reinhard Häring-Oldenburg
A Potts model with a reflecting boundary is introduced and it is shown that its partition function can be expressed as a Markov trace on the Temperley-Lieb Algebra of Coxeter type…
Actions of Tensor Categories and Cylinder Braids
Reinhard H"aring-Oldenburg
Categorial actions of braided tensor categories are defined and shown to be the right framework for a discussion of the categorial structure related to the group of braids in the c…
An Ariki-Koike like extension of the Birman-Murakami-Wenzl Algebra
Reinhard Häring-Oldenburg
We introduce an Ariki-Koike like extension of the Birman-Murakami-Wenzl Algebra and show it to be semi-simple. This algebra supports a faithful Markov trace that gives rise to link…
The Cylinder braiding of the quantum Weyl group of
Reinhard H"aring-Oldenburg
Is is shown that the quantum Weyl group of contains an element that is a cylinder twist, i.e. it gives rise to representations of the braid group of Coxeter type B.
Knot Theory of Coxeter type B and its physical applications
Reinhard Häring-Oldenburg
Braid groups may be defined for every Coxeter diagram. Artin's braid group is of type A. Analogs of Temperley-Lieb, Hecke and Birman-Wenzl algebras exist for B-type. Our general hy…