Conference Lie and Jordan Algebras, their Representations and Applications-IV
On representations of quantum and classical Kac-Moody algebras
A geometric characterization of the representation type of a quiver
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Cluster algebras and representation theory
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| Author(s): |
Matheus Batagini Brito
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2011-03-15 |
| Examining board members: |
Adriano Adrega de Moura;
Paulo Roberto Brumatti;
Iryna Kashuba
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| Advisor: | Adriano Adrega de Moura |
| Abstract | |
In this dissertation we study two examples of interplay between the theory of cluster algebras from one side and representation theory on the other. Namely, we study the main results of the articles [5, 26]. The first one is a relation between cluster algebras of type A and representations of certain quiver with relations which are also related to triangulations of regular polygons. The second example concerns a model of monoidal categorification of certain cluster algebras via finite dimensional representation theory of the quantum group associated to an affine Kac- Moody algebra of type A (AU) | |
| FAPESP's process: | 09/02990-2 - Introduction to Cluster Algebras via Quiver Representations |
| Grantee: | Matheus Batagini Brito |
| Support Opportunities: | Scholarships in Brazil - Master |