Rock blocks

2007/10/29 by W. Turner, Turner, W.
Computer Science · Mathematics · #20G05 #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0710.5462

openalex publication_date 2007/10/29 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

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, we pursue a structure theorem for these blocks.

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