| Résume | I will talk about Hecke algebras which are hidden in $q$-Schur algebras of type A. We can show that those hidden Hecke algebras are defined as Yoneda algebras of some simple modules, are isomorphic to some Ariki-Koike algebras, and depend only on the derived equivalence classes of $q$-Schur algebra blocks. I would like to talk about a conjectural role of this hidden Hecke algebra in representation theory. If I have enough time, I would like to talk about the higher level analogue. |
