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

Meliot, Pierre-Loic

Hardcover

ISBN 10: 1498719120 ISBN 13: 9781498719124

Publisher: CRC Press, 2017

Synopsis

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.

About this title

Review

 

"The book will be most useful as a reference for researchers...I believe it is a valuable contribution to the literature on

the symmetric group and related algebras."

~Mark J. Wildon, Mathematical Reviews, March 2018

Edition details

• Publisher: CRC Press
• Publication date: 2017
• ISBN 10: 1498719120
• ISBN 13: 9781498719124
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 682