Rock Blocks

Released on by Will Turner
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  • Rock Blocks Book Detail

  • Author : Will Turner
  • Release Date : 2009-10-08
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 117
  • ISBN 13 : 0821844628
  • File Size : 78,78 MB
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Rock Blocks by Will Turner PDF Summary

Book Description: 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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