William Fulton (University of Chicago)

Young Tableaux

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

• Broschiertes Buch

Produktbeschreibung

The author develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The intuitive presentation and numerous exercises make the book suitable for beginning graduate students as well as researchers.

Produktdetails

• London Mathematical Society Student Texts
• Verlag: Cambridge University Press
• Seitenzahl: 272
• Erscheinungstermin: 10. April 2003
• Englisch
• Abmessung: 229mm x 152mm x 17mm
• Gewicht: 418g
• 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.