THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL

MARIA CHLOUVERAKI; SOFIA LAMBROPOULOU

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THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL

机译：YOKONUMA-HECKE代数和HOMFLYPT多项式

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摘要

We compare the invariants for classical knots and links defined using the Juyumaya trace on the Yokonuma–Hecke algebras with the HOMFLYPT polynomial. We show that these invariants do not coincide with the HOMFLYPT except in a few trivial cases.

机译：我们将经典结和链的不变量与使用HOMFLYPT多项式的Yokonuma–Hecke代数上的Juyumaya迹线进行了比较。我们表明，除了少数琐碎的情况外，这些不变量与HOMFLYPT不重合。

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《Journal of knot theory and its ramifications》 |2013年第14期|共35页
作者
MARIA CHLOUVERAKI; SOFIA LAMBROPOULOU;
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正文语种 eng
中图分类纽结理论;
关键词
Yokonuma–Hecke algebras; Markov trace; HOMFLYPT polynomial; E-system.;

机译：Yokonuma–Hecke代数;Markov迹;HOMFLYPT多项式;E系统。;

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专利

1. THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL [J] . MARIA CHLOUVERAKI, SOFIA LAMBROPOULOU Journal of knot theory and its ramifications . 2013,第14期

机译：YOKONUMA-HECKE代数和HOMFLYPT多项式
2. Cell structures structures for the Yokonuma-Hecke algebra and the algebra of braids and ties [J] . Espinoza Jorge, Ryom-Hansen Steen Journal of pure and applied algebra . 2018,第11期

机译：yokonuma-hecke代数的细胞结构结构和辫子的代数和关系
3. Modular Representation Theory of Affine and Cyclotomic Yokonuma-Hecke Algebras [J] . Cui Weideng, Wan Jinkui Algebras and representation theory . 2020,第4期

机译：模块化表示仿射和紧固yokonuma-hecke代数
4. High-Performance Computer Algebra: A Hecke Algebra Case Study [C] . Patrick Maier, Daria Livesey, Hans-Wolfgang Loidl, International conference on Euro-Par . 2014

机译：高性能计算机代数：Hecke代数案例研究
5. 0-Hecke algebra actions on flags, polynomials, and Stanley-Reisner rings. [D] . Huang, Jia. 2013

机译：标志，多项式和Stanley-Reisner环上的0-Hecke代数运算。
6. ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS [O] . R. E. Kalman 1969

机译：零代数域中的ZEROS LIE的多项式的代数刻画
7. The HOMFLYPT polynomials of sublinks and the Yokonuma-Hecke algebras [O] . d'Andecy, L. Poulain, Wagner, E. 2016

机译：子链路的HOmFLYpT多项式和Yokonuma-Hecke代数

THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL

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