Bruce E. Sagan: The Symmetric Group | Buch

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Cover: 9780387950679 | The Symmetric Group | Bruce E. Sagan | Buch | XVI | Englisch | 2001

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

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.

Inhaltsverzeichnis

1 Group Representations.- 2 Representations of the Symmetric Group.- 3 Combinatorial Algorithms.- 4 Symmetric Functions.- 5 Applications and Generalizations.

Details

Erscheinungsjahr:	2001
Fachbereich:	Topologie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	264
Reihe:	Graduate Texts in Mathematics
Inhalt:	xvi 240 S. 31 s/w Illustr. 31 s/w Zeichng.
ISBN-13:	9780387950679
ISBN-10:	0387950672
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Sagan, Bruce E.
Auflage:	2nd ed. 2001
Hersteller:	Springer US Springer New York Graduate Texts in Mathematics
Maße:	241 x 160 x 20 mm
Von/Mit:	Bruce E. Sagan
Erscheinungsdatum:	20.04.2001
Gewicht:	0,565 kg

preigu-id: 105752711

Zusammenfassung

Inhaltsverzeichnis

1 Group Representations.- 2 Representations of the Symmetric Group.- 3 Combinatorial Algorithms.- 4 Symmetric Functions.- 5 Applications and Generalizations.

Details

Erscheinungsjahr:	2001
Fachbereich:	Topologie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	264
Reihe:	Graduate Texts in Mathematics
Inhalt:	xvi 240 S. 31 s/w Illustr. 31 s/w Zeichng.
ISBN-13:	9780387950679
ISBN-10:	0387950672
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Sagan, Bruce E.
Auflage:	2nd ed. 2001
Hersteller:	Springer US Springer New York Graduate Texts in Mathematics
Maße:	241 x 160 x 20 mm
Von/Mit:	Bruce E. Sagan
Erscheinungsdatum:	20.04.2001
Gewicht:	0,565 kg