Synopses & Reviews
This text is an introduction to the representation theory of the symmetric group from three different points of view: via general representation theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. The style of presentation is relaxed yet rigorous and the prerequisites have been kept to a minimumundergraduate courses in linear algebra and group theory will suffice.
Synopsis:
This is an introduction to the representation theory of the symmetric group from three different points of view: via general representation theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. A number of the combinatorial results presented have never appeared in book form before and the book will serve as a good reference for those working in this field. The second edition includes some new proofs and applications of the theory.
Table of Contents
Group Representations.- Representations of the Symmetric Group.- Combinatorial Algorithms.- Symmetric Functions.- Applications and Generalizations.