| Grant number: | 09/05887-8 |
| Support type: | Scholarships in Brazil - Doctorate |
| Effective date (Start): | July 01, 2009 |
| Effective date (End): | May 31, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Adriano Adrega de Moura |
| Grantee: | Tiago Rodrigues Macedo |
| Home Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated research grant: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations, AP.TEM |
Abstract The present project aims at the study of some cohomological results for non standard flag varieties of loop groups. We are specially interested in obtaining a version of Kempf's Vanishing Theorem for the flag variety corresponding to a certain natural non standard parabolic subalgebra related to the finite-dimensional representation theory of such groups. This result will be a fundamental tool for proving a conjecture on the independence of the character of the finite-dimensional Weyl modules with respect to the (algebraically closed) ground field. | |