The representation theory of the symmetric group

著者

書誌事項

The representation theory of the symmetric group

Gordon James, Adalbert Kerber ; foreword by P.M. Cohn ; introduction by G. de B. Robinson

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 16 . Section, Algebra）

Cambridge University Press, 2009

  • : pbk

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注記

Bibliography: p. 468-505

Includes index

"First published by Addison Wesley 1981" -- T.p. verso

"First published by Cambridge University Press 1985" -- T.p. verso

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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