تقرير
Framization of a Temperley-Lieb algebra of type $\mathtt{B}$
| العنوان: | Framization of a Temperley-Lieb algebra of type $\mathtt{B}$ |
|---|---|
| المؤلفون: | Flores, Marcelo, Goundaroulis, Dimos |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Mathematics - Geometric Topology, 57M25, 57M27, 20C08, 20F36 |
| الوصف: | We extend the Framization of the Temperley-Lieb algebra to Coxeter systems of type $\mathtt{B}$. We first define a natural extension of the classical Temperley-Lieb algebra to Coxeter systems of type $\mathtt{B}$ and prove that such an extension supports a unique linear Markov trace function. We then introduce the Framization of the Temperley-Lieb algebra of type $\mathtt{B}$ as a quotient of the Yokonuma-Hecke algebra of type $\mathtt{B}$. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra of type $\mathtt{B}$ to pass to the quotient algebra. Using the main theorem, we construct invariants for framed links and classical links inside the solid torus. Comment: 22 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1708.02014 |
| رقم الأكسشن: | edsarx.1708.02014 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |