Cellularity of cyclotomic Yokonuma-Hecke algebras
Abstract
We first give a direct proof of a basis theorem for the cyclotomic Yokonuma-Hecke algebra Our approach follows Kleshchev's, which does not use the representation theory of and so it is very different from that of [ChP2]. We also present two applications. Then we prove that the cyclotomic Yokonuma-Hecke algebra is cellular by constructing an explicit cellular basis, and show that the Jucys-Murphy elements for are JM-elements in the abstract sense. In the appendix, we shall develop the fusion procedure for
Keywords
Cite
@article{arxiv.1506.07321,
title = {Cellularity of cyclotomic Yokonuma-Hecke algebras},
author = {Weideng Cui},
journal= {arXiv preprint arXiv:1506.07321},
year = {2016}
}
Comments
Fusion procedures of cyclotomic Y-H algebras are added in the appendix. In the arXiv:1405.6441, we define and study Yokonuma-Schur algebras and cyclotomic analogues. arXiv admin note: text overlap with arXiv:1208.4884; text overlap with arXiv:1506.00715 by other authors