Abstract
THE work of the late Dr. Alfred Young is now more wideiy known and more appreciated than it was fifteen years ago. His purpose was to construct a calculus of operators which should yield all the irreducible concomitants of a set of algebraic forms. He partly achieved this aim; but in pursuit of it he discovered an ancillary calculus, that of his famous “tableau” operators, by the aid of which he obtained his important matrix representations, the “natural” and the “semi-normal”, of the symmetric group.
Substitutional Analysis
By Dr. Daniel Edwin Rutherford. (Edinburgh University Publications, Science and Mathematics, No. 1.) Pp. xi + 103. (Edinburgh: University Press; and Oliver and Boyd, 1948.) 25s. net.
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AITKEN, A. The Substitutional Calculus of Alfred Young. Nature 164, 549 (1949). https://doi.org/10.1038/164549a0
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DOI: https://doi.org/10.1038/164549a0