Root Systems
Date:
Abstract: The classification of finite-dimensional semisimple Lie algebras is a cornerstone of Lie theory. At the heart of this classification lies the theory of root systems developed through the pioneering work of Wilhelm Killing and Élie Cartan. In this talk, I will motivate the definition of root systems and introduce Dynkin diagrams. We will explore the explicit construction of the classical root system $A_n$, illustrating the associated Dynkin diagram.