REPRESENTATION THEORY OF SYMMETRIC GROUPS

Features Uses the newest research studies and results for the new generation of researchers and students of combinatorics, algebra and discrete mathematics Examines representations of symmetric groups and symmetric functions Present observables of partitions and the dual approach to representation theory Studies models of random partitions stemming from representation theory Summary 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 the 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.