\(p\)-adic framed braids. II

DOI10.1016/j.aim.2012.10.011zbMath1266.57011OpenAlexW2013869453MaRDI QIDQ1935184

Jesús Juyumaya, Sofia Lambropoulou

Publication date: 11 February 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.10.011

zbMATH Keywords

\(p\)-adic integersYokonuma-Hecke algebraframed linkMarkov trace\(p\)-adic framed linkframed braidisotopy invariantmodular framed link

Mathematics Subject Classification ID

Related Items (15)

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 ⋮ A framization of the Hecke algebra of type B ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ 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. ⋮ THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL ⋮ Representation theory and an isomorphism theorem for the framisation of the Temperley-Lieb algebra ⋮ An Adelic Extension of the Jones Polynomial ⋮ Framization of a Temperley-Lieb algebra of type \(\mathtt{B}\) ⋮ New skein invariants of links ⋮ A new two-variable generalization of the Jones polynomial ⋮ Skein invariants of links and their state sum models ⋮ Tied links in the solid torus ⋮ Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra.

Cites Work

• \(p\)-adic framed braids
• Hecke algebra representations of braid groups and link polynomials
• On the link invariants from the Yokonuma–Hecke algebras
• An Adelic Extension of the Jones Polynomial
• AN INVARIANT FOR SINGULAR KNOTS
• The Framed Braid Group and 3-Manifolds
• MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA
• The Yokonuma–Temperley–Lieb algebra
• On the Framization of Knot Algebras
• THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL
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