Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group

Andrew Francis, Lenny Jones

Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group $S_n$, and let $Z(\H_n)$ denote its centre. Let $B=b_1,b_2,...,b_t$ be a basis for $Z(\H_n)$ over $R=\mathbb{Z}[q,q^{-1}]$.…