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Representations of hyper loop algebras and multi current algebras

Grant number: 07/07456-9
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): March 01, 2008
Effective date (End): 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.

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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, . (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.

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