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Title: | The Lorentz Group |
Author: | Cobos Zara, Guillem |
Director/Tutor: | Strickland, Neil |
Keywords: | Grups de Lie Treballs de fi de grau Relativitat especial (Física) Isomorfismes (Matemàtica) Lie groups Bachelor's theses Special relativity (Physics) Isomorphisms (Mathematics) |
Issue Date: | 29-Jun-2015 |
Abstract: | In this project we aim to understand the structure and some properties of the Lorentz group, a mathematical object arising from the theory of special relativity which is said to express some of the main symmetries in the laws of Physics. The first section of the project is concerned about providing physical intuition about the concepts involved in the definition of the Lorentz group. The main goal of the project is to prove an isomorphism between the restricted Lorentz group and the projective linear group PSL 2 (C). Once achieved this result, we use it to build a scheme that will let us study the conjugacy classes of the restricted Lorentz group. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2015, Director: Neil Strickland |
URI: | http://hdl.handle.net/2445/68763 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 447.73 kB | Adobe PDF | View/Open |
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