Kac-Moody Algebra

Kac-Moody algebras are advanced mathematical structures that extend traditional symmetry concepts, used in areas like theoretical physics and string theory. They generalize classical Lie algebras by allowing an infinite number of elements and complex relations, enabling the modeling of symmetries in systems with infinite degrees of freedom. Essentially, they help mathematicians and physicists understand and describe symmetries beyond finite cases, providing a framework for studying complex, highly symmetrical systems that appear in quantum mechanics and high-energy physics.