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- W4301965917 abstract "We develop an inductive approach to the representation theory of the Yokonuma-Hecke algebra ${rm Y}_{d,n}(q)$, based on the study of the spectrum of its Jucys-Murphy elements which are defined here. We give explicit formulas for the irreducible representations of ${rm Y}_{d,n}(q)$ in terms of standard $d$-tableaux; we then use them to obtain a semisimplicity criterion. Finally, we prove the existence of a canonical symmetrising form on ${rm Y}_{d,n}(q)$ and calculate the Schur elements with respect to that form." @default.
- W4301965917 created "2022-10-06" @default.
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- W4301965917 date "2013-02-25" @default.
- W4301965917 modified "2023-10-16" @default.
- W4301965917 title "Representation theory of the Yokonuma-Hecke algebra" @default.
- W4301965917 doi "https://doi.org/10.48550/arxiv.1302.6225" @default.
- W4301965917 hasPublicationYear "2013" @default.
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