Memoirs of the American Mathematical Society 2009; 102 pp; softcover Volume: 202 ISBN10: 0821844628 ISBN13: 9780821844625 List Price: US$66 Individual Members: US$39.60 Institutional Members: US$52.80 Order Code: MEMO/202/947
 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 nondescribing 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. Table of Contents  Introduction
 Highest weight categories, \(q\)Schur algebras, Hecke algebras, and finite general linear groups
 Blocks of \(q\)Schur algebras, Hecke algebras, and finite general linear groups
 Rock blocks of finite general linear groups and Hecke algebras, when \(w < l\)
 Rock blocks of symmetric groups, and the Brauer morphism
 SchurWeyl duality inside Rock blocks of symmetric groups
 Ringel duality inside Rock blocks of symmetric groups
 James adjustment algebras for Rock blocks of symmetric groups
 Doubles, Schur superbialgebras, and Rock blocks of Hecke algebras
 Power sums
 Schiver doubles of type \(A_\infty\)
 Bibliography
 Index
