30th SIICUSP Presentation

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

Outline

• Why study representation theory?
  • Linear actions
  • Structure-preserving representations: continuous and smooth representation
• Lie algebras and the Lie functor
• The fundamental Lie theorems
• Irreducible representations of 𝔰𝔩₂ℂ
• Weights and roots