In this paper we consider the Birman Wenzl algebras over an arbitrary field and prove that they are cellular in the sense of Graham and Lehrer. Furthermore, we determine for which parameters the Birman Wenzl algebras are quasi-hereditary. So the general theory of cellular algebras and quasi-heredita
The Reduced Birman–Wenzl Algebra of Coxeter Type B
✍ Scribed by Reinhard Häring-Oldenburg
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 196 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
We introduce a reduced form of a Birman᎐Murakami᎐Wenzl algebra associated to the braid group of Coxeter type B and investigate its semisimplicity, Bratteli diagram, and Markov trace. Applications in knot theory and physics are outlined.
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