Permutation resolutions for Specht modules of Hecke algebras

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• 作者：Robert Boltje^a ; ^{boltje@ucsc.edu} ; Filix Maisch^b ; ^{maischf@science.oregonstate.edu}
• 关键词：20C08
• 刊名：Journal of Algebra
• 出版年：2012
• 期刊代码：69_00218693
• 类别：mt
• 出版时间：1 September, 2012
• 卷：365
• 期：Complete
• 页码：12-28
• 文件大小：236 K

摘要

In Boltje and Hartmann (2011) , a chain complex was constructed in a combinatorial way which conjecturally is a resolution of the (dual of the) integral Specht module for the symmetric group in terms of permutation modules. In this paper we extend the definition of the chain complex to the integral Iwahori Hecke algebra and prove the same partial exactness results that were proven in the symmetric group case.