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Title: The complexities of some simple modules of the symmetric groups
Authors: Lim, K.J. 
Tan, K.M. 
Issue Date: Jun-2013
Source: 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.
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
ISSN: 00246093
DOI: blms/bds118
Appears in Collections:Staff Publications

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