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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Computational problems in $S$-function theory
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by P. A. Morris PDF
Math. Comp. 27 (1973), 965-971 Request permission

Abstract:

In this paper we discuss some computational problems associated with Schur-functions. A well-known algorithm for the ordinary product is described and adapted for a computer. A theorem of Todd is discussed in the same way, and these methods are combined to produce a general program for the plethysm (wreath product) of two S-functions.
References
    P. H. Butler, "S-functions and symmetry in physics," J. Physique (Supp. to Nos. 11-12) Nov.-Dec. 1970, C4-47 to 49. D. B. Hunter, "Analysis of the outer product of symmetric group representations," Nordisk. Tidskr. Informationsbehandling, v. 10, 1970, pp. 106-114.
  • D. E. Littlewood, A University Algebra, William Heinemann, Ltd., Melbourne-London-Toronto, 1950. MR 0045079
    • D. E. Littlewood, Theory of Group Characters, 2nd ed., Clarendon Press, Oxford, 1950. J. K. S. McKay, "Partitions in natural order (Algorithm 371)," Comm. ACM, v. 13, 1970. P. A. Morris, Graph Theoretic and Computer Applications to S-function Theory, Ph.D. Thesis, University of the West Indies, 1970.
  • P. A. Morris, Applications of graph theory to $S$-function theory, J. London Math. Soc. (2) 8 (1974), 63–72. MR 357216, DOI 10.1112/jlms/s2-8.1.63
  • Ronald C. Read, The use of $S$-functions in combinatorial analysis, Canadian J. Math. 20 (1968), 808–841. MR 229534, DOI 10.4153/CJM-1968-080-x
    • P. R. Smith & B. G. Wybourne, "Plethysm and the theory of complex spectra," J. Mathematical Phys., v. 9, 1968, pp. 1040-1051. P. R. Smith & B. G. Wybourne, "Selection rules and decomposition of the Kronecker square of irreducible representations," J. Mathematical Phys., v. 8, 1967, pp. 2434-2440.
  • J. A. Todd, A note on the algebra of $S$-functions, Proc. Cambridge Philos. Soc. 45 (1949), 328–334. MR 29875, DOI 10.1017/s0305004100024932
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Math. Comp. 27 (1973), 965-971
  • MSC: Primary 20-04
  • DOI: https://doi.org/10.1090/S0025-5718-1973-0338134-4
  • MathSciNet review: 0338134