Representations of hyper loop algebras and multi current algebras

• Grant number: 07/07456-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2008
• End date: February 29, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Angelo Calil Bianchi
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 05/04558-0 - Symmetries in geometry, topology and mathematical physics, AP.TEM

Abstract

The goal of this project is to study some aspects of the finite-dimensional representation theory of certain algebras related to twisted affine Kac-Moody algebras. In a first moment the student will study representations of the so-called hyoer loop algebras. Later, similar topics should be studied for quantum affine algebras.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BIANCHI, ANGELO; MOURA, ADRIANO. FINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS. COMMUNICATIONS IN ALGEBRA, v. 42, n. 7, p. 3147-3182, JUL 3 2014. (07/07456-9)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

BIANCHI, Angelo Calil. Representations of hyper loop algebras and multi curret algebras. 2012. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Ciência da Computação Campinas, SP.