Kac-Moody groups, their flag varieties, and representation theory

Kac-Moody groups, their flag varieties, and representation theory

Enregistré dans:
Détails bibliographiques
Auteur principal : Kumar Shrawan (Auteur)
Format : Livre
Langue : anglais
Titre complet : Kac-Moody groups, their flag varieties, and representation theory / Shrawan Kumar
Publié : Boston, Basel, Berlin : Birkhäuser , copyright 2002
Description matérielle : 1 vol. (XIII-606 p.)
Collection : Progress in mathematics (Boston, Mass.) ; 204
Sujets :
Kac-Moody, Algèbres de
Représentations de groupes
  • Kac-Moody Algebras : basic theory.
  • Representation Theory of Kac-Moody Algebras.
  • Lie Algebra Homology and Cohomology.
  • An Introduction to ind-Varieties and pro-Groups.
  • Tits Systems.
  • Kac-Moody Groups.
  • Generalized Flag Varieties of Kac-Moody Groups.
  • Demazure and Weyl-Kac Character Formulas.
  • BGG and Kempf Resolutions.
  • Defining Equations of G/P and Conjugacy Theorems.
  • Topology of Kac-Moody Groups and Their Flag Varieties.
  • Smoothness and Rational Smoothness of Schubert Varieties.
  • An Introduction to Affine Kac Moody Lie Algebras and Groups.
  • Appendix.