Publication date:
7 September 2017
Source:Advances in Mathematics, Volume 317
Author(s): Anton Evseev, Alexander Kleshchev
Turner's Conjecture describes all blocks of symmetric groups and Hecke algebras up to derived equivalence in terms of certain double algebras. With a view towards a proof of this conjecture, we develop a general theory of Turner doubles. In particular, we describe doubles as explicit maximal symmetric subalgebras of certain generalized Schur algebras and establish a Schur–Weyl duality with wreath product algebras.