A braids and ties algebra of type \texttt{B}

DOI10.1016/j.jpaa.2019.04.011zbMath1426.57006OpenAlexW2938124943WikidataQ114664655 ScholiaQ114664655MaRDI QIDQ2318372

Marcelo Flores

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2019.04.011

zbMATH Keywords

link invariantsMarkov traceframizationbt-algebra of type \(B\)

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Knot theory (57K10)

Related Items (5)

On the annihilator ideal in the \textit{bt}-algebra of tensor space ⋮ Tied monoids ⋮ Framization of a Temperley-Lieb algebra of type \(\mathtt{B}\) ⋮ Two parameters bt-algebra and invariants for links and tied links ⋮ Tied links in the solid torus

Cites Work

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• The generic representation theory of the Juyumaya algebra of braids and ties.
• On baxterized solutions of reflection equation and integrable chain models
• Hecke algebra representations of braid groups and link polynomials
• Hyperoctahedral Schur algebras
• Ramified partition algebras.
• Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties
• Lattice extensions of Hecke algebras
• A framization of the Hecke algebra of type B
• Representation theory of the Yokonuma-Hecke algebra.
• Tied links
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• Markov Traces on Affine and Cyclotomic Yokonuma–Hecke Algebras
• Artin Groups and Yokonuma–Hecke Algebras
• Markov trace on the algebra of braids and ties

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