Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties

DOI10.1016/j.jpaa.2018.02.001zbMath1390.33037arXiv1506.00715OpenAlexW2964104502MaRDI QIDQ1635331

Jorge Espinoza, Steen Ryom-Hansen

Publication date: 6 June 2018

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

Full work available at URL: https://arxiv.org/abs/1506.00715

Mathematics Subject Classification ID

Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

On the annihilator ideal in the \textit{bt}-algebra of tensor space ⋮ Lattice extensions of Hecke algebras ⋮ Tied links and invariants for singular links ⋮ A framization of the Hecke algebra of type B ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ Defect in cyclotomic Hecke algebras ⋮ Classical link invariants from the framizations of the Iwahori–Hecke algebra and the Temperley–Lieb algebra of type A ⋮ Modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras ⋮ Representation theory and an isomorphism theorem for the framisation of the Temperley-Lieb algebra ⋮ Fusion procedure for Yokonuma–Hecke algebras ⋮ A new two-variable generalization of the Jones polynomial ⋮ A braids and ties algebra of type \texttt{B} ⋮ Two parameters bt-algebra and invariants for links and tied links

Cites Work

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• An isomorphism theorem for Yokonuma-Hecke algebras and applications to link invariants
• The generic representation theory of the Juyumaya algebra of braids and ties.
• Cellular bases for algebras with a Jones basic construction
• On the representation theory of an algebra of braids and ties.
• On the new generators of the Hecke algebra \({\mathcal H}(G,U,\mathbf{1})\)
• Murphy bases of generalized Temperley-Lieb algebras
• Cyclotomic \(q\)-Schur algebras
• Modified Ariki-Koike algebras and cyclotomic \(q\)-Schur algebras.
• Schur-Weyl reciprocity for Ariki-Koike algebras
• On double centralizer properties between quantum groups and Ariki-Koike algebras.
• The representations of Hecke algebras of type \(A_ n\)
• Schur-Weyl reciprocity for the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
• Cellular algebras
• \(p\)-adic framed braids. II
• Cellularity of wreath product algebras and \(A\)-Brauer algebras.
• Representation theory of the Yokonuma-Hecke algebra.
• On the Möbius algebra of a partially ordered set
• On the link invariants from the Yokonuma–Hecke algebras
• Seminormal forms and Gram determinants for cellular algebras
• MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA
• Clifford theory for Yokonuma-Hecke algebras and deformation of complex reflection groups
• Artin Groups and Yokonuma–Hecke Algebras
• The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras
• Identifying the Invariants for Classical Knots and Links from the Yokonuma–Hecke Algebras
• Markov trace on the algebra of braids and ties
• THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL
• The Burnside algebra of a finite group