Abstract
We study the effect of tensoring simple modules in RoCK blocks (also known as Rouquier blocks) of symmetric groups with the one-dimensional sign representation, and the analogue for Hecke algebras of type A. We find an explicit and very neat description. We also describe p-regularization for partitions in these blocks.
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ACKNOWLEDGMENT
This work forms part of the author's D.Phil. thesis at the University of Oxford and was supported by EPSRC award 99801608.
Notes
Communicated by B. Huisgen-Zimmermann.