Symmetric group blocks of small defect

Details Symmetric group blocks of small defect Symmetric group blocks of small defect

2003-11-23

arxiv.org/abs/math/0311408v1

Mathematics

Representation Theory

42 pages

Scientific paper

This paper is an attempt to compute the decomposition numbers of the blocks of the symmetric group which have "small defect"; that is, blocks of weight smaller than the characteristic. We present various methods for computing such decomposition numbers and use these as support for a conjecture which relates decomposition numbers in different characteristics. Finally, we apply our techniques to blocks of weight three.

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