Symmetric group blocks of small defect
Representation Theory
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0311408,
title = {Symmetric group blocks of small defect},
author = {Gordon James and Andrew Mathas},
journal= {arXiv preprint arXiv:math/0311408},
year = {2007}
}
Comments
42 pages