Rock Blocks
| Author | : Will Turner |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 117 |
| Release | : 2009-10-08 |
| ISBN-13 | : 9780821844625 |
| ISBN-10 | : 0821844628 |
| Rating | : 4/5 (28 Downloads) |
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.
