The Reduced Birman–Wenzl Algebra of Coxeter Type B☆

The Reduced Birman–Wenzl Algebra of Coxeter Type B☆
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Coxeter B型简化Birman-Wenzl代数☆

DOI:
10.1006/jabr.1998.7670
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发表时间:
1997
期刊:
影响因子:
0.9
通讯作者:
R. Haering
R. Haering
中科院分区:
数学3区
文献类型:
--
作者:
R. Haering

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本文引入了一个与Coxeter型B辫子群相联系的Birman-Murakami-Wenzl代数的约化形式,并研究了它的半单性、Bratteli图和Markov迹.在纽结理论和物理学的应用进行了概述。
Abstract 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.