Schurifying quasi‐hereditary algebras

We study new classes of quasi-hereditary and cellular algebras which generalize Turner's double algebras. provide a local description blocks symmetric groups up to derived equivalence. Our general construction allows one “schurify” any algebra A $A$ obtain generalized Schur S ( n , d ) $S^A(n,d)$ we prove is again if ⩽ $d\leqslant n$ . describe decomposition numbers in terms those the classical $S(n,d)$ In fact, it essential work with superalgebras case schurification involves non-trivial full rank sub-lattice T ⊆ $T^A_\mathfrak {a}(n,d)\subseteq S^A(n,d)$