HOMFLY-PT and Alexander polynomials from a doubled Schur algebra

被引：2

作者：

Queffelec, Hoel ^{[1
]}

Sartori, Antonio ^{[2
]}

机构：

[1] Univ Montpellier, CNRS, IMAG, Montpellier, France

[2] Albert Ludwigs Univ Freiburg, Math Inst, Eckerstr 1, D-79104 Freiburg, Germany

来源：

QUANTUM TOPOLOGY | 2018年 / 9卷 / 02期

关键词：

Schur algebras; knot invariants; Alexander polynomial; HOMFLY-PT polynomial; Reshetikhin-Turaev invariants;

D O I：

10.4171/QT/109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a generalization of the Schur algebra which gives a unified setting for a quantum group presentation of the HOMFLY-PT polynomial, together with its specializations to the Alexander polynomial and to the sl(m) Reshetikhin-Turaev invariant.

引用

页码：323 / 347

页数：25

共 50 条

[41] HOMFLY POLYNOMIALS FROM THE HILBERT SCHEMES OF A PLANAR CURVE [after D. Maulik, A. Oblomkov, V. Shende, ...]
Migliorini, Luca
ASTERISQUE, 2020, (422) : 355 - 389
[42] Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots
Massuyeau, G
Nichita, FF
COMMUNICATIONS IN ALGEBRA, 2005, 33 (07) : 2375 - 2385
[43] Argument conditions for Hurwitz and Schur polynomials from network theory (vol 39, pg 345, 1995)
Bose, NK
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (02) : 285 - 285
[44] Colored HOMFLY-PT for hybrid weaving knot Ŵ3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\hat{\mathrm{W}}}_3 $$\end{document}(m, n)
Vivek Kumar Singh
Rama Mishra
P. Ramadevi
Journal of High Energy Physics, 2021 (6)
[45] CERTAIN GENERATING RELATIONS OF KONHAUSER MATRIX POLYNOMIALS FROM THE VIEW POINT OF LIE ALGEBRA METHOD
Shehata, Ayman
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (04): : 123 - 136
[46] SOME PROPERTIES OF SIMPLE BESSEL POLYNOMIALS FROM VIEW-POINT OF LIE-ALGEBRA
CHATTERJEA, SK
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1975, 28 (11): : 1455 - 1458
[47] Some Combined Results from Eneström-Kakeya and Rouché Theorems on the Generalized Schur Stability of Polynomials and the Stability of Quasi-Polynomials-Application to Time-Delay Systems
De La Sen, Manuel
MATHEMATICS, 2024, 12 (19)
[48] Certain Generating Matrix Relations of Generalized Bessel Matrix Polynomials from the View Point of Lie Algebra Method
A. Shehata
Bulletin of the Iranian Mathematical Society, 2018, 44 : 1025 - 1043
[49] Certain Generating Matrix Relations of Generalized Bessel Matrix Polynomials from the View Point of Lie Algebra Method
Shehata, A.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (04): : 1025 - 1043
[50] Algebra, coherent states, generalized Hermite polynomials, and path integrals for fractional statistics-Interpolating from fermions to bosons
Ramakrishna, Satish
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (10)

← 1 2 3 4 5 →