Representation Theory of Symmetric Groups

The Representation Theory of Symmetric Groups is a comprehensive abstract algebra book that covers symmetric groups and representation theory. It presents the theory from a combinatorial, algorithmic, or algebraic perspective, using new research and results. The book demonstrates how to use Hopf algebras to encode combinatorial properties of representations, making it an innovative introduction to the field for graduate students and researchers.

Format: Paperback / softback
Length: 682 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

The Representation Theory of Symmetric Groups is a comprehensive and cutting-edge abstract algebra book that delves into the world of symmetric groups and representation theory. Written with the latest research and results in mind, this book offers a multi-faceted approach to studying these mathematical structures. Whether approached from a combinatorial, algorithmic, or algebraic perspective, readers will find this book to be an invaluable resource.

The book serves as an excellent introduction to representation theory of symmetric groups, particularly the classical theory. It begins by providing a solid foundation in the basics, before expanding to explore how the theory can be applied to other related combinatorial algebras such as the Iwahori-Hecke algebra.

In a clear and concise manner, the author presents the argument that most calculations related to symmetric groups can be performed using appropriate algebras of functions. By leveraging the power of Hopf algebras, which encompass symmetric functions and generalizations, the book explains how these algebras can be used to encode the combinatorial properties of the representations of symmetric groups.

Overall, The Representation Theory of Symmetric Groups is an innovative and thought-provoking introduction to representation theory of symmetric groups for graduate students and researchers seeking new perspectives and approaches to this field. With its comprehensive coverage, rigorous analysis, and practical applications, this book is sure to become a staple in the literature of abstract algebra.

Weight: 1260g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032476926