Permutation resolutions for Specht modules of Hecke algebras

Details Permutation resolutions for Specht modules of Hecke algebras Permutation resolutions for Specht modules of Hecke algebras

2012-03-26

arxiv.org/abs/1203.5751v1

Mathematics

Representation Theory

23 pages

Scientific paper

In [Boltje,Hartmann: Permutation resolutions for Specht modules, J. Algebraic Combin. 34 (2011), 141-162], 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 proved in the symmetric group case. A complete proof of the exactness conjecture in the symmetric group case was announced in [arXiv:1104.1959v2] by Santana and Yudin.

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