Braid relations in the Yokonuma-Hecke algebra.

DOI10.1006/jabr.2000.8646zbMath1061.20005OpenAlexW2118797931MaRDI QIDQ5942795

Subramaniam Senthamarai Kannan, Jesús Juyumaya

Publication date: 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8646

zbMATH Keywords

algebras of endomorphismspresentationsgeneratorspermutation representationsmaximal unipotent subgroupssimple Chevalley groupsYokonuma-Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite groups of Lie type (20C33)

Related Items (11)

An isomorphism theorem for Yokonuma-Hecke algebras and applications to link invariants ⋮ Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras ⋮ On the representation theory of an algebra of braids and ties. ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ Defect in cyclotomic Hecke algebras ⋮ Modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras ⋮ The principal block of a \(\mathbb{Z}_{\ell}\)-spets and Yokonuma type algebras ⋮ Representation theory of the Yokonuma-Hecke algebra. ⋮ Representation theory and an isomorphism theorem for the framisation of the Temperley-Lieb algebra ⋮ Braid relations in the Yokonuma-Hecke algebra. ⋮ Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra.

Cites Work

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• On the new generators of the Hecke algebra \({\mathcal H}(G,U,\mathbf{1})\)
• Markov trace on the algebra of braids and ties
• Braid relations in the Yokonuma-Hecke algebra.

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