THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL

DOI10.1142/S0218216513500806zbMath1295.57015arXiv1204.1871OpenAlexW2035121227MaRDI QIDQ5404519

Maria Chlouveraki, Sofia Lambropoulou

Publication date: 24 March 2014

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1871

zbMATH Keywords

Yokonuma-Hecke algebrasHOMFLYPT polynomialMarkov traceE-systemJuyumaya trace

Mathematics Subject Classification ID

Related Items (13)

An isomorphism theorem for Yokonuma-Hecke algebras and applications to link invariants ⋮ Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ \(p\)-adic framed braids. II ⋮ Classical link invariants from the framizations of the Iwahori–Hecke algebra and the Temperley–Lieb algebra of type A ⋮ Representation theory of the Yokonuma-Hecke algebra. ⋮ Representation theory and an isomorphism theorem for the framisation of the Temperley-Lieb algebra ⋮ New skein invariants of links ⋮ A new two-variable generalization of the Jones polynomial ⋮ On the link invariants from the Yokonuma–Hecke algebras ⋮ Enabling computations for link invariants coming from the Yokonuma–Hecke algebras ⋮ Arithmetic and representation theory of wild character varieties ⋮ Skein invariants of links and their state sum models

Cites Work

• \(p\)-adic framed braids
• Hecke algebra representations of braid groups and link polynomials
• \(p\)-adic framed braids. II
• An Adelic Extension of the Jones Polynomial
• AN INVARIANT FOR SINGULAR KNOTS
• MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA

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