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Introduction to Cluster Algebras via Quiver Representations

Grant number: 09/02990-2
Support Opportunities:Scholarships in Brazil - Master
Start date: August 01, 2009
End date: February 28, 2011
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Adriano Adrega de Moura
Grantee:Matheus Batagini Brito
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 project for the Masters studies of the student Matheus Brito aims at providing him with a solid basis in the area of representations of algebras, specially quiver representations, with a view towards the study of cluster algebras. In particular, the student should study the relation of cluster algebras with Ovsienko s generalization , for quivers with relations, of Gabriel s Theorem.

News published in Agência FAPESP Newsletter about the scholarship:
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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
BRITO, Matheus Batagini. Cluster algebras and representation theory. 2011. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.