### Abstract

Motivated by the theory of knots, Geck and Lambropoulou studied so-called Markov traces on the Iwahori-Hecke algebra H-n of type B-n. These traces depend on two parameters and are linear combinations of the irreducible characters of H-n, where the coefficients are called weights. Orellana determined the weights explicitly for certain special choices or the parameters. In this article, we derive from Orellana's result a formula for the weights in general. As an application, we obtain a new proof of Hoefsmit's formulas for the generic degrees of H-n. Finally, we present a conjectural formula for weights of Markov traces on Ariki-Koike algebras. (C) 2001 Academic Press.

Original language | English |
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Pages (from-to) | 731-744 |

Number of pages | 14 |

Journal | Journal of Algebra |

Volume | 236 |

Issue number | 2 |

DOIs | |

Publication status | Published - 15 Feb 2001 |

### Cite this

Iancu, L. (2001). Markov traces and generic degrees in type

*B*._{n}*Journal of Algebra*,*236*(2), 731-744. https://doi.org/10.1006/jabr.2000.8523