Kac-Moody Groups, Their Flag Varieties and Representation Theory (Hardcover)

Introduction 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 -- Basic Theory Kac--Moody Groups -- Basic Theory 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 A. Results from Algebraic Geometry Appendix B. Local Cohomology Appendix C. Results from Topology Appendix D. Relative Homological Algebra Appendix E. An Introduction to Spectral Sequences Bibliography Index of Notation Index