Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/122044
Title: Real forms of complex algebraic groups
Author: Gebbia, Giancarlo
Director/Tutor: Crespo Vicente, Teresa
Keywords: Varietats algebraiques
Treballs de fi de grau
Grups algebraics lineals
Àlgebres de Lie
Homologia
Equacions diferencials lineals
Teoria de Galois
Algebraic varieties
Bachelor's thesis
Linear algebraic groups
Lie algebras
Homology
Linear differential equations
Galois theory
Issue Date: 29-Jun-2017
Abstract: [en] The goal of this project is to classify the real forms of a closed subgroup of the special linear complex group of degree two. Previously we have to study several concepts of algebraic group theory such as galois cohomology. We expose many properties of forms of an algebraic group over a field $k$. We present the Kovacic algorithm for solving second order linear homogeneous differential equation over $\mathbb{C}(x)$.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Teresa Crespo Vicente
URI: http://hdl.handle.net/2445/122044
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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