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.

### Contents

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.