Lie algebra

Lie algebra is a mathematical structure that studies symmetries and transformations. It helps describe how certain objects change under smooth motion, focusing on their infinitesimal transformations—essentially, very small changes. Named after the mathematician Sophus Lie, it provides tools for understanding complex systems in physics, such as particle physics and geometry. In simple terms, you can think of Lie algebra as a way to capture and analyze the essence of symmetry and motion, providing a foundational framework for many areas in mathematics and science.