Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras

Zhekun He, Jun Hu, Huang Lin

We define a unified trace form $\ddot{I}„$ on the cyclotomic Hecke algebras ${\mathcal{H}}_{n,K}$ of type $A$, which generalize both Malle-Mathas' trace form on the non-degenerate version (…