Markov Traces on Affine and Cyclotomic Yokonuma–Hecke Algebras
Markov Traces on Affine and Cyclotomic Yokonuma–Hecke Algebras
In this article, we define and study the affine and cyclotomic Yokonuma–Hecke algebras. These algebras generalize 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 …