William Fulton, Fulton William

Young Tableaux

With Applications to Representation Theory and Geometry
Herausgeber: Series, C. M.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 272
• Erscheinungstermin: 10. April 2003
• Englisch
• Abmessung: 229mm x 152mm x 17mm
• Gewicht: 446g
• ISBN-13: 9780521567244
• ISBN-10: 0521567246
• Artikelnr.: 21291269

Inhaltsangabe

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.