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Fusion procedure for Yokonuma–Hecke algebras

Volume 154 / 2018

Weideng Cui Colloquium Mathematicum 154 (2018), 31-45 MSC: Primary 20C08; Secondary 05E10. DOI: 10.4064/cm7315-12-2017 Published online: 5 July 2018

Abstract

By generalizing the approach of Poulain d’Andecy (2014), we introduce certain Baxterized elements for Yokonuma–Hecke algebras, and use them to prove that a complete set of pairwise orthogonal primitive idempotents of Yokonuma–Hecke algebras can be obtained by consecutive evaluations of a certain rational function.

Authors

  • Weideng CuiSchool of Mathematics
    Shandong University
    Jinan, Shandong 250100, China
    e-mail

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