Vertex constructions in representation theory of infinite dimensional Lie algebra.
Representations of hyper loop algebras and equivariant map algebras
Lie and Jordan algebras, their representations and generalizations
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Vertex structures in representation theory of Lie algebras
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| Author(s): |
Renato Alessandro Martins
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2012-05-04 |
| Examining board members: |
Vyacheslav Futorny;
Dimitar Grantcharov;
Henrique Guzzo Junior;
Reimundo Heluani;
Plamen Emilov Kochloukov
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| Advisor: | Vyacheslav Futorny |
| Abstract | |
Following the results of [BBFK11], our work starts analyzing (for bsl(n;C)) if we can obtain J-imaginary Verma modules using similar representations used by Cox in [Cox05]. We did it for n = 2 and after, for the general case. The next step was the study of J-intermediate Wakimoto modules, following the ideas of [CF04] and [CF05]. To finish, for affine sl(2;C), we defined an action of Virasoro algebra on the imaginary Wakimoto modules following [EFK98] and we obtained an analogue of the KZ-equations for imaginary Wakimoto modules. (AU) | |
| FAPESP's process: | 08/06860-3 - Vertex structures in representation theory of Lie algebras |
| Grantee: | Renato Alessandro Martins |
| Support Opportunities: | Scholarships in Brazil - Doctorate |