Rock Blocks (Memoirs of the American Mathematical Society)

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Rock Blocks (Memoirs of the American Mathematical Society)

Rock Blocks (Memoirs of the American Mathematical Society) by W. Turner
English | 2009 | ISBN: 0821844628 | 102 Pages | PDF | 849.77 KB

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.

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