Abstract
The rational group algebra of the infinite symmetric group is studied using Young diagrams. Maximal and prime ideals are characterized and the maximal condition on ideals is proved.
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References
A. Kerber,Representations of Permutation Groups I, Lecture Notes in Mathematics No. 240, Springer-Verlag, 1971.
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Research supported by the National Research Council of Canada.
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Formanek, E., Lawrence, J. The group algebra of the infinite symmetric group. Israel J. Math. 23, 325–331 (1976). https://doi.org/10.1007/BF02761809
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DOI: https://doi.org/10.1007/BF02761809