Markov trace on a tower of affine Temperley–Lieb algebras of type Ã-Reference-Cited by-同舟云学术

Markov trace on a tower of affine Temperley–Lieb algebras of type Ã

Published:2015-08 Issue:09 Volume:24 Page:1550049
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Al Harbat Sadek¹

Affiliation:

1. LAMFA, Université de Picardie Jules Verne, France

Abstract

We define a tower of affine Temperley–Lieb algebras of type Ã. We prove that there exists a unique Markov trace on this tower, this trace comes from the Markov–Ocneanu–Jones trace on the tower of Temperley–Lieb algebras of type A. We define an invariant of special kind of links as an application of this trace.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515500492

Reference7 articles.

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2. Diagram algebras, Hecke algebras and decomposition numbers at roots of unity

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