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- W4300652460 abstract "In this article, we define and study the affine and cyclotomic Yokonuma-Hecke algebras. These algebras generalise at the same time the Ariki-Koike and affine Hecke algebras and the Yokonuma-Hecke algebras. We study the representation theory of these algebras and construct several bases for them. We then show how we can define Markov traces on them, which we in turn use to construct invariants for framed and classical knots in the solid torus. Finally, we study the Markov trace with zero parameters on the cyclotomic Yokonuma-Hecke algebras and determine the Schur elements with respect to that trace." @default.
- W4300652460 created "2022-10-03" @default.
- W4300652460 creator A5022311834 @default.
- W4300652460 creator A5081554712 @default.
- W4300652460 date "2014-06-12" @default.
- W4300652460 modified "2023-09-25" @default.
- W4300652460 title "Markov traces on affine and cyclotomic Yokonuma-Hecke algebras" @default.
- W4300652460 doi "https://doi.org/10.48550/arxiv.1406.3207" @default.
- W4300652460 hasPublicationYear "2014" @default.
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