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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