Young Tableaux: With Applications to Representation Theory and Geometry - Rilegato

Fulton, William

Rilegato

ISBN 10: 0521561442 ISBN 13: 9780521561440

Casa editrice: Cambridge University Press, 1997

Riassunto

Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.

Su questo libro

Descrizione del libro

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.

Contenuti

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.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0521561442
• ISBN 13: 9780521561440
• Rilegatura: Copertina rigida
• Numero di pagine: 270
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile