dorsal/arxiv
View SchemaKnot Theory of Coxeter type B and its physical applications
| Authors | Reinhard Häring-Oldenburg |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611016 |
| URL | https://arxiv.org/abs/q-alg/9611016 |
Abstract
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 hypothethis is that the braid group of B-type replaces Artin's braid group in most physical applications if the model is equipped with a nontrivial boundary. Solutions of a Potts model with a boundary and the reflection equation illustrate this principle. Braided tensor categories of B-type and dually Coxeter-B braided Hopf algebras are introduced. The occurrence of such categories in QFT on a half plane is discussed.
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"abstract": "Braid groups may be defined for every Coxeter diagram. Artin\u0027s braid group is\nof type A. Analogs of Temperley-Lieb, Hecke and Birman-Wenzl algebras exist for\nB-type. Our general hypothethis is that the braid group of B-type replaces\nArtin\u0027s braid group in most physical applications if the model is equipped with\na nontrivial boundary. Solutions of a Potts model with a boundary and the\nreflection equation illustrate this principle. Braided tensor categories of\nB-type and dually Coxeter-B braided Hopf algebras are introduced. The\noccurrence of such categories in QFT on a half plane is discussed.",
"arxiv_id": "q-alg/9611016",
"authors": [
"Reinhard H\u00e4ring-Oldenburg"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Knot Theory of Coxeter type B and its physical applications",
"url": "https://arxiv.org/abs/q-alg/9611016"
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