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| Author(s): |
Luan Pereira Bezerra
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: | 2015-07-28 |
| Examining board members: |
Adriano Adrega de Moura;
Angelo Calil Biânchi;
Plamen Emilov Kochloukov
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| Advisor: | Adriano Adrega de Moura |
| Abstract | |
In this work we study the so-called graded local Weyl modules. Identifying local Weyl modules with Demazure modules for a Kac-Moody algebra induces natural inclusions. The goal is to study and explore a possible generalization of recent results on the compatibility, with respect to these inclusions, of certain basis of the local Weyl modules known as Chari-Pressley-Loktev basis. The main result characterizes the elements of the basis which are stable and allows us to build a basis for the basic representation of the Kac-Moody algebra associated with the special linear Lie algebra of order 2, comprising only of stable elements of the local Weyl module basis (AU) | |
| FAPESP's process: | 13/24685-2 - Local Weyl modules and chevalley groups |
| Grantee: | Luan Pereira Bezerra |
| Support Opportunities: | Scholarships in Brazil - Master |