Dijana Jakelic | University of Virginia - Estados Unidos

• Grant number: 06/00609-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: June 05, 2006
• End date: July 05, 2006
• 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 Virginia (UVa), 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 algebra and its quantizations in two directions. The first one is on finite-dimensional representations of quantum affine algebras at roots of unity, where we seek the results about the block decomposition of the underlying abelian category and $\ell$-character formulas for some classes of irreducible representations. The second topic is concerned with obtaining geometric constructions for some types of non-integrable representations which should provide the ground for developing a "canonical" bases theory for such representations. (AU)