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	Título: Rock Blocks
	Autor: Turner W	Precio: $836.00
	Editorial: American Mathematical Society	Año: 2009
	Tema: Algebra, Matematicas, Textos	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

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