Rock blocks
著者
書誌事項
Rock blocks
（Memoirs of the American Mathematical Society, no. 947）
American Mathematical Society, 2009
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注記
"Volume 202, number 947 (first of 5 numbers)."
Includes bibliographical references (p. 97-99) and index
内容説明・目次
内容説明
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.
目次
- 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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