Abstract
In an earlier paper1 the author investigated the relation existing between the induced matrices of a group of permutation matrices and the table of group characters of the irreducible representations of the corresponding symmetric group. It was found that the traces of a particular set of induced matrices sufficed to give, by a relatively simple transformation, the complete table of characters.It was remarked also that for n > 4 the set of compound matrices of permutation matrices, on the other hand, could at most provide only part of the table; for in fact the number of compounds, n + 1. is then less than P (n), the numbe'r of partitions of n. For this reason the subject was not pursued into further detail.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Generating functions for stable branching coefficients of , and;Journal of Physics A: Mathematical and General;1997-10-07
2. Products and plethysms for the fundamental harmonic series representations ofU(p, q);Journal of Physics A: Mathematical and General;1997-07-07
3. Alexander Craig Aitken, 1895-1967;Biographical Memoirs of Fellows of the Royal Society;1968-11