Dijana Jakelic | University of Illinois at Chicago - Estados Unidos

• Grant number: 08/00774-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: June 01, 2008
• End date: December 12, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Adriano Adrega de Moura
• Visiting researcher: Dijana Jakelic
• Visiting researcher institution: University of Illinois at Chicago (UIC), United States
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The goal of the present project is to further develop the representation theory of Kac-Moody Lie algebras, their hyperalgebras and quantization. The planned work consists of two subprojects - the first one concerns finite-dimensional representations of hyper and quantum affine (loop) algebras, while the second aims at obtaining geometric constructions of certain types of non-integrable representations (typically infinite-dimensional) providing the ground for developing a canonical bases theory for such representations. (AU)