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Representation theory and quantum field theory

Grant number: 12/22965-5
Support type:Research Grants - Visiting Researcher Grant - International
Duration: June 02, 2013 - June 29, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Vyacheslav Futorny
Grantee:Vyacheslav Futorny
Visiting researcher: Ben Cox
Visiting researcher institution: College of Charleston, United States
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

This is a research project in the area of Representation Theory of Lie algebras. We are planning to study the free field realizations of Date-Jimbo-Kashiwara-Miwa algebras and orthogonal polynomials associated with these algebras. Moreover, we will study topological representations of affine Kac-Moody algebras. (AU)