The representation theory of the symmetric group
著者
書誌事項
The representation theory of the symmetric group
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 16）
Cambridge University Press, 1984
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注記
Imprint and ISBN from label on t.p. verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1981
Publication taken over by Cambridge University Press in 1984 with a new copyright date
Bibliography: p. 468-505
Includes index
内容説明・目次
内容説明
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.
目次
- 1. Symmetric groups and their young subgroups
- 2. Ordinary irreducible representations and characters of symmetric and alternating groups
- 3. Ordinary irreducible matrix representations of symmetric groups
- 4. Representations of wreath products
- 5. Applications to combinatories and representation theory
- 6. Modular representations
- 7. Representation theory of Sn over an arbitrary field
- 8. Representations of general linear groups
- Appendices
- Index.
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