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A Combinatorial Interpretation Of The Wreath Product Of Schur Functions

Published online by Cambridge University Press:  20 November 2018

Glânffrwd P. Thomas
Glânffrwd P. Thomas*
Affiliation:
University College of Wales, Aberystwyth, Great Britain
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A combinatorial interpretation of Schur functions in terms of Young tableaux is well-known. (For example, see Littlewood [1] or Thomas [4]). The purpose of this paper is to present a combinatorial interpretation of the wreath product (or plethysm) of two Schur functions.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 879 - 884
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Littlew∞d, D. E., The theory of group characters, 2nd edition (Oxford University Press, Great Britain, 1950).Google Scholar
2. McConnell, J. and Newell, M. J., Expansion of symmetric products in series of Schur functions, Proc. Royal Irish Acad. 73 A No. 18 (1973), 255–274.Google Scholar
3. Read, R. C., The use of S-functions in combinatorial analysis, Can. J. Math. 20 (1968), 808–841.Google Scholar
4. Thomas, G. P., Baxter algebras and Schur functions, Ph.D. Thesis, University College of Swansea, Sept. 1974.Google Scholar