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Título:
Autor:
Precio: $836.00
Editorial:
Año: 2009
Tema:
Edición: 1ª
Sinopsis
ISBN: 9780821844625
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 < l
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