3 papers
q-alg1997
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…
q-alg1997
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…
q-alg1997
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…