The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions
Language: English
Published by Springer-Verlag New York Inc., 2010
- Softcover
- Used
Seller: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc
AbeBooks seller since March 23, 2026
Condition: Used - Very good
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I have been very gratified by the response to the first edition, which has resulted in it being sold out. This put some pressure on me to come out with a second edition and now, finally, here it is. The original text has stayed much the same, the major change being in the treatment of the hook formula which is now based on the beautiful Novelli-Pak-Stoyanovskii bijection (NPS 97]. I have also added a chapter on applications of the material from the first edition. This includes Stanley's theory of differential posets (Stn 88, Stn 90] and Fomin's related concept of growths (Fom 86, Fom 94, Fom 95], which extends some of the combinatorics of Sn-representations. Next come a couple of sections showing how groups acting on posets give rise to interesting representations that can be used to prove unimodality results (Stn 82]. Finally, we discuss Stanley's symmetric function analogue of the chromatic polynomial of a graph (Stn 95, Stn ta]. I would like to thank all the people, too numerous to mention, who pointed out typos in the first edition. My computer has been severely reprimanded for making them. Thanks also go to Christian Krattenthaler, Tom Roby, and Richard Stanley, all of whom read portions of the new material and gave me their comments. Finally, I would like to give my heartfelt thanks to my editor at Springer, Ina Lindemann, who has been very supportive and helpful through various difficult times.…
Seller Inventory # CIN1441928693VG
- Title
- The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions
- Author
- Bruce E Sagan
- Publisher
- Springer-Verlag New York Inc.
- Publication year
- 2010
- Condition
- Very Good
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1441928693
- ISBN 13
- 9781441928696
- Edition
- 2nd Edition
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.
"Synopsis" may belong to another edition of this title.
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)
"About the title" may belong to another edition of this title.
World of Books Inc
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AbeBooks seller since March 23, 2026
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