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ISSN 1947-6221(e) ISSN 0065-9266(p)

Rock blocks

Author(s): W. Turner
Journal: Memoirs of the AMS 202 (2009), no. 947.
MSC (2000): Primary 20C30
Posted: July 22, 2009
MathSciNet review: 2553536
Retrieve article in: PDF

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Abstract: Consider representation theory associated to symmetric groups, or to Hecke algebras in type A, or to -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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