Representations of quantum and hyper loop algebras

• Grant number: 12/17508-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: December 26, 2012
• End date: February 25, 2013
• 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 North Carolina Wilmington (UNCW), United States
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The project has two distinct goals. The first is to compute the q-characters of fundamental representations of quantum affine algebras at roots of unity as an application of the results obtained in our last joint paper. The second goal is to evaluate several natural options for continuation of our collaboration and then set a work plan to be followed next. (AU)