Sophus Lie

Sophus Lie was a mathematician who developed a way to study how mathematical objects change or transform smoothly, such as rotations or shifts in space. His work, called Lie theory, uses continuous groups (called Lie groups) to describe these transformations, which appear in physics, engineering, and geometry. By understanding these groups, mathematicians can analyze symmetric patterns and solve complex differential equations. Lie’s contributions provide a powerful framework for exploring the underlying structures in many scientific fields, helping us understand how systems evolve and behave under continuous change.