Rock Blocks

Download or read book Rock Blocks written by Will Turner and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.