The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions: 203 (Graduate Texts in Mathematics) - Softcover

Sagan, Bruce E. E.

9781441928696: The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions: 203 (Graduate Texts in Mathematics)

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ISBN 10: 1441928693 ISBN 13: 9781441928696

Verlag: Springer, 2010

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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.

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Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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Verlag: Springer
Erscheinungsdatum: 2010
Sprache: Englisch
ISBN 10: 1441928693
ISBN 13: 9781441928696
Einband: Tapa blanda
Anzahl der Seiten: 260
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9780387950679: The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions: 203 (Graduate Texts in Mathematics, 203)

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ISBN 10: 0387950672 ISBN 13: 9780387950679
Verlag: Springer, 2001
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The Symmetric Group

Bruce E. Sagan

Verlag: Springer New York, 2010

ISBN 10: 1441928693 ISBN 13: 9781441928696

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Bruce E. Sagan

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ISBN 10: 1441928693 ISBN 13: 9781441928696

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book brings together many of the important results in this field. From the reviews: ''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.' --ZENTRALBLATT MATH 260 pp. Englisch. Bestandsnummer des Verk�ufers 9781441928696

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

Bruce E. Sagan

Verlag: Springer New York, Springer US, 2010

ISBN 10: 1441928693 ISBN 13: 9781441928696

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verk�ufers 9781441928696

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The Symmetric Group

Bruce E. Sagan

Verlag: Springer New York, Springer US Dez 2010, 2010

ISBN 10: 1441928693 ISBN 13: 9781441928696

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Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch. Bestandsnummer des Verk�ufers 9781441928696

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