Rock blocks

W. Turner

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arXiv · 0710.5462

Rock blocks

W. Turner

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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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W. Turner. 2007-10-29. Rock blocks. https://arxiv.org/abs/0710.5462

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