Filtrations in Rouquier blocks of symmetric groups and Schur algebras

Chuang, J. & Tan, K. M. (2003). Filtrations in Rouquier blocks of symmetric groups and Schur algebras. Proceedings of the London Mathematical Society, 86(3), pp. 685-706. doi: 10.1112/S0024611502013953

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Abstract

We study Rouquier blocks of symmetric groups and Schur algebras in detail, and obtain explicit descriptions for the radical layers of the principal indecomposable, Weyl, Young and Specht modules of these blocks. At the same time, the Jantzen filtrations of the Weyl modules are shown to coincide with their radical filtrations. We also address the conjectures of Martin, Lascoux–Leclerc–Thibon–Rouquier and James for these blocks.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences
URI: http://openaccess.city.ac.uk/id/eprint/14052

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