Rock blocks - no. 947

Consider representation theory associated to symmetric groups, or to Hecke algebras in type A, or to $q$-Schur algebras, or to finite general linear groups in non-describing characteristic.

Rock blocks are certain combinatorially defined blocks appearing in such a representation theory, first observed by R.

Rouquier. Rock blocks are much more symmetric than general blocks, and every block is derived equivalent to a Rock block.

Motivated by a theorem of J. Chuang and R. Kessar in the case of symmetric group blocks of abelian defect, the author pursues a structure theorem for these blocks.