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|Title:||The complexities of some simple modules of the symmetric groups|
|Authors:||Lim, K.J. |
|Citation:||Lim, K.J., Tan, K.M. (2013-06). The complexities of some simple modules of the symmetric groups. Bulletin of the London Mathematical Society 45 (3) : 497-510. ScholarBank@NUS Repository. https://doi.org/10.1112/blms/bds118|
|Abstract:||We determine the complexities of the simple modules lying in two well-known classes of blocks of symmetric group algebras in characteristic p, namely the Rouquier blocks of p-weight w, with w < p, and the defect 2 blocks. For the former, we show that the simple modules have complexity w. For the latter, we show that D(p+1,1p-1) has complexity 1, while the other simple modules have complexity 2. © 2012 London Mathematical Society.|
|Source Title:||Bulletin of the London Mathematical Society|
|Appears in Collections:||Staff Publications|
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