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Algorithms for plethysm. (English) Zbl 0556.20013
Combinatorics and algebra, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 34, 109-153 (1984).
[For the entire collection see Zbl 0546.00008.]
The authors give a computer practical algorithm for computing the coefficients in the expansion in terms of Schur functions of the plethysm of two Schur functions. By plethysm $$S_{\lambda}[S_{\mu}]$$ we mean $$S_{\lambda}(m_ 1,...,m_ n)$$ where the $$m_ i$$ are monomials with coefficient one and $$S_{\mu}=\sum m_ i$$.

##### MSC:
 20C30 Representations of finite symmetric groups 20-04 Software, source code, etc. for problems pertaining to group theory 05A17 Combinatorial aspects of partitions of integers