Representation Theory of Symmetric Groups (Discrete Mathematics and Its Applications) (Paperback)

Representation Theory of Symmetric Groups (Discrete Mathematics and Its Applications) By Pierre-Loic Meliot Cover Image
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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.

Product Details
ISBN: 9781032476926
ISBN-10: 1032476923
Publisher: CRC Press
Publication Date: January 21st, 2023
Pages: 682
Language: English
Series: Discrete Mathematics and Its Applications