### 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.

Original language | English |
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Publisher | American Mathematical Society |

Number of pages | 106 |

Volume | 202 |

ISBN (Print) | 9780821844625 |

DOIs | |

Publication status | Published - Nov 2009 |

### Publication series

Name | Memoirs of the American Mathematical Society |
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Publisher | American Mathematical Society |

No. | 947 |

Volume | 202 |

ISSN (Print) | 0065-9266 |

### Keywords

- hog eye
- latch key
- master
- opener
- passkey
- screw
- skeleton
- twister

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## Cite this

Turner, W. (2009).

*Rock blocks*. (Memoirs of the American Mathematical Society; Vol. 202, No. 947). American Mathematical Society. https://doi.org/10.1090/S0065-9266-09-00562-6