The Symmetric Group | Representations, Combinatorial Algorithms, and Symmetric Functions

Bruce E. Sagan

ISBN 10: 1441928693 / ISBN 13: 9781441928696

Published by Springer, 2010

About this Item

The Symmetric Group | Representations, Combinatorial Algorithms, and Symmetric Functions | Bruce E. Sagan | Taschenbuch | xvi | Englisch | 2010 | Springer | EAN 9781441928696 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 107174218

Bibliographic Details

• Title: The Symmetric Group | Representations, Combinatorial Algorithms, and Symmetric Functions
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 1441928693
• ISBN 13: 9781441928696
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 235W x 155H x 15D millimeters 235 millimeters width by 155 millimeters height by 15 millimeters depth
• Weight: 400 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

There has recently been a resurgence of interest in representations of symmetric groups as well as other Coxeter groups. This book brings together for the first time many of the important results in this field. It includes a new chapter on applications of the materials from the first edition. The only prerequisites are elementary group theory and linear algebra.

Review

From the reviews of the second edition:

"This work is an introduction to the representation theory of the symmetric group. Unlike other books on the subject this text deals with the symmetric group from three different points of view: general representation theory, combinatorial algorithms and symmetric functions. ... This book is a digestible text for a graduate student and is also useful for a researcher in the field of algebraic combinatorics for reference." (Attila Maróti, Acta Scientiarum Mathematicarum, Vol. 68, 2002)

"A classic gets even better. ... The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." (David M. Bressoud, Zentralblatt MATH, Vol. 964, 2001)