|Location:||MSRI: Simons Auditorium|
I will describe how to `schurify? a superalgebra. Some important algebras arise in this way; the classical Schur algebra is the schurification of its ground field, and RoCK blocks of Hecke algebras were shown by Evseev and Kleshchev to be Morita equivalent to schurified zigzag algebras. Many nice properties of superalgebras are preserved under schurification; in particular, if a superalgebra is quasihereditary/cellular, then (under some restraints), its schurification inherits that structure as well, with decomposition numbers described in terms of those of the original superalgebra and classical Schur algebra combinatorics.
This is joint work with Alexander Kleshchev.