Advanced search
Central extensions and Symplectic Geometry
Full text
| |
| Author(s): |
Pedro Henrique Carvalho Silva
Total Authors: 1
|
| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2020-02-07 |
| Examining board members: |
Igor Mencattini;
Alejandro Cabrera;
Carlos Henrique Grossi Ferreira;
Cristian Andres Ortiz Gonzalez
|
| Advisor: | Igor Mencattini |
| Abstract | |
This work explores aspects of Lie theory and its interactions with symplectic geometry. More precisely, we study a criterion to decide about the integrability of a given central extension of Lie algebras, which uses concepts from symplectic geometry in its formulation and finds an application in the context of hamiltonian actions. Futhermore, we discuss how some of the constructions appearing in the first part of this work may relate to the theory of Lie groupoids and Lie algebroids. (AU) | |
| FAPESP's process: | 18/07297-2 - Prequantization and extensions |
| Grantee: | Pedro Henrique Carvalho Silva |
| Support Opportunities: | Scholarships in Brazil - Master |