Rock Blocks
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Rock Blocks: (Memoirs of the American Mathematical Society)

Rock Blocks: (Memoirs of the American Mathematical Society)


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About the Book

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.

Table of Contents:
Introduction; Highest weight categories, $q$-Schur algebras, Hecke algebras, and finite general linear groups; Blocks of $q$-Schur algebras, Hecke algebras, and finite general linear groups; Rock blocks of finite general linear groups and Hecke algebras, when $w <|$; Rock blocks of symmetric groups, and the Brauer morphism; Schur-Weyl duality inside Rock blocks of symmetric groups; Ringel duality inside Rock blocks of symmetric groups; James adjustment algebras for Rock blocks of symmetric groups; Doubles, Schur super-bialgebras, and Rock blocks of Hecke algebras; Power sums; Schiver doubles of type $A_\infty$; Bibliography; Index.


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Product Details
  • ISBN-13: 9780821844625
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Weight: 190 gr
  • ISBN-10: 0821844628
  • Publisher Date: 25 Feb 2010
  • Binding: Paperback
  • Series Title: Memoirs of the American Mathematical Society


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