Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14431
Title: Representation theory of symmetric groups
Authors: SURYA WIJAYA
Keywords: representation theory, symmetric groups, p-weight, p-core, Rouquier block, [3:2]-pair
Issue Date: 4-Jan-2005
Source: SURYA WIJAYA (2005-01-04). Representation theory of symmetric groups. ScholarBank@NUS Repository.
Abstract: We do a survey of the general representation theory of the symmetric group. We summarize works done by Scopes, Martin and Russel on the blocks of small defect groups and their properties. We present some methods to calculate the decomposition numbers. With the method developed by Tan and Chuang, we construct the decomposition matrix of Rouquier block of S_135, which has a p-weight 3 and on a field of characteristic 5. Finally, with the collection of methods that we have, we construct the decomposition matrix of a block of S_133. This block forms a [3:2]-pair with the above Rouquier block, has a p-weight 3 and on a field of characteristic 5.
URI: http://scholarbank.nus.edu.sg/handle/10635/14431
Appears in Collections:Master's Theses (Open)

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