The group algebra of the infinite symmetric group

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1976 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 23, pages 325-331 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Formanek, Edward; Lawrence, John;

doi: 10.1007/bf02761809

The group algebra of the infinite symmetric group

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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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University of Chicago
United States

Keywords

Prime and semiprime associative rings, Group rings, Finite rings and finite-dimensional associative algebras, Group rings of finite groups and their modules (group-theoretic aspects)

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