Hugendubel.info - Die B2B Online-Buchhandlung 

Merkliste
Die Merkliste ist leer.
Bitte warten - die Druckansicht der Seite wird vorbereitet.
Der Druckdialog öffnet sich, sobald die Seite vollständig geladen wurde.
Sollte die Druckvorschau unvollständig sein, bitte schliessen und "Erneut drucken" wählen.

Flag Varieties

E-BookPDF1 - PDF WatermarkE-Book
286 Seiten
Englisch
Hindustan Book Agencyerschienen am15.01.20091. Auflage
Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory. This book is detailed account of this interplay. In the area of representation theory, the book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups; in addition, the representation theory of symmetric groups is also discussed. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Because of the connections with root systems, many of the geometric results admit elegant combinatorial description, a typical example being the description of the singular locus of a Schubert variety. This is shown to be a consequence of standard monomial theory (abbreviated SMT). Thus the book includes SMT and some important applications - singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.mehr

Produkt

KlappentextFlag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory. This book is detailed account of this interplay. In the area of representation theory, the book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups; in addition, the representation theory of symmetric groups is also discussed. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Because of the connections with root systems, many of the geometric results admit elegant combinatorial description, a typical example being the description of the singular locus of a Schubert variety. This is shown to be a consequence of standard monomial theory (abbreviated SMT). Thus the book includes SMT and some important applications - singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.
Details
Weitere ISBN/GTIN9789386279415
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2009
Erscheinungsdatum15.01.2009
Auflage1. Auflage
ReiheTexts and Readings in Mathematics
Reihen-Nr.53
Seiten286 Seiten
SpracheEnglisch
Illustrationen286 p.
Artikel-Nr.5863504
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.; 1. Preliminaries; 2. Structure Theory of Semisimple Rings; 3. Representation Theory of Finite Groups; 4. Representation Theory of the Symmetric Group; 5. Symmetric Polynomials; 6. Schur-Weyl Duality and the Relationship Between Representations of Sd and GLn (C); 7. Structure Theory of Complex Semisimple Lie Algebras; 8. Representation Theory of Complex Semisimple Lie Algebras; 9. Generalities on Algebraic Groups; 10. Structure Theory of Reductive Groups; 11. Representation Theory of Semisimple Algebraic Groups; 12. Geometry of the Grassmannian, Flag and their Schubert Varieties via Standard Monomial Theory; 13. Singular Locus of a Schubert Variety in the Flag Variety SLn/B; 14. Applications.; Appendix: Chevalley Groups.; Bibliography.; List of Symbols.; Index.mehr