Continuous groups

Continuous groups, often referred to as "Lie groups," are mathematical structures that are used to describe symmetries and transformations in a continuous way. Imagine the movements of an object, like rotating a sphere or moving a point along a path. These movements can be described using continuous groups, which can represent any gradual change without sudden jumps. In physics, they help understand concepts like rotations in space and other symmetrical properties of systems. Essentially, they provide a framework for analyzing situations where changes happen smoothly rather than in discrete steps.