30th-siicusp

A short lecture of mine on my scientific initiation project for 30th SIICUSP

README.md (426B)

 1 # 30th SIICUSP Presentation
 2 
 3 A short lecture of mine on my scientific initiation project for 30th
 4 [SIICUSP](https://siicusp.prp.usp.br/pt/home/).
 5 
 6 ## Outline
 7 
 8 * Why study representation theory?
 9   * Linear actions
10   * Structure-preserving representations: continuous and smooth representation
11 * Lie algebras and the Lie functor
12 * The fundamental Lie theorems
13 * Irreducible representations of 𝔰𝔩₂ℂ
14 * Weights and roots