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Young Tableaux
With Applications to Representation Theory and Geometry
Taschenbuch von Fulton William
Sprache: Englisch

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Beschreibung
Young tableaux are fillings of the boxes of diagrams that correspond to partitions with positive integers, that are strictly increasing down columns and weakly increasing along rows. The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, the representations of the symmetric and general linear groups, and the geometry of flag varieties. Many of these applications have not been available in book form.
Young tableaux are fillings of the boxes of diagrams that correspond to partitions with positive integers, that are strictly increasing down columns and weakly increasing along rows. The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, the representations of the symmetric and general linear groups, and the geometry of flag varieties. Many of these applications have not been available in book form.
Inhaltsverzeichnis
Part I. Calculus Of Tableux: 1. Bumping and sliding; 2. Words: the plactic monoid; 3. Increasing sequences: proofs of the claims; 4. The Robinson-Schensted-Knuth Correspondence; 5. The Littlewood-Richardson rule; 6. Symmetric polynomials; Part II. Representation Theory: 7. Representations of the symmetric group; 8. Representations of the general linear group; Part III. Geometry: 9. Flag varieties; 10. Schubert varieties and polynomials; Appendix A; Appendix B.
Details
Erscheinungsjahr: 2003
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 272
ISBN-13: 9780521567244
ISBN-10: 0521567246
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: William, Fulton
Redaktion: Series, C. M.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 17 mm
Von/Mit: Fulton William
Erscheinungsdatum: 10.04.2003
Gewicht: 0,446 kg
preigu-id: 113421439
Inhaltsverzeichnis
Part I. Calculus Of Tableux: 1. Bumping and sliding; 2. Words: the plactic monoid; 3. Increasing sequences: proofs of the claims; 4. The Robinson-Schensted-Knuth Correspondence; 5. The Littlewood-Richardson rule; 6. Symmetric polynomials; Part II. Representation Theory: 7. Representations of the symmetric group; 8. Representations of the general linear group; Part III. Geometry: 9. Flag varieties; 10. Schubert varieties and polynomials; Appendix A; Appendix B.
Details
Erscheinungsjahr: 2003
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 272
ISBN-13: 9780521567244
ISBN-10: 0521567246
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: William, Fulton
Redaktion: Series, C. M.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 17 mm
Von/Mit: Fulton William
Erscheinungsdatum: 10.04.2003
Gewicht: 0,446 kg
preigu-id: 113421439
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