Representation Theory of Symmetric Groups is the most up-to-date
abstract algebra book on the subject of symmetric groups and
representation theory. Utilizing new research and results, this
book can be studied from a combinatorial, algorithmic or algebraic
viewpoint. This book is an excellent way of introducing today's
students to representation theory of the symmetric groups, namely
classical theory. From there, the book explains how the theory can
be extended to other related combinatorial algebras like the
Iwahori-Hecke algebra. In a clear and concise manner, the author
presents the case that most calculations on symmetric group can be
performed by utilizing appropriate algebras of functions. Thus, the
book explains how some Hopf algebras (symmetric functions and
generalizations) can be used to encode most of the combinatorial
properties of the representations of symmetric groups. Overall, the
book is an innovative introduction to representation theory of
symmetric groups for graduate students and researchers seeking new
ways of thought.
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