👉 Jordan math, also known as Jordan algebra theory, is a branch of non-associative algebra named after the mathematician John Joseph Jordan. It studies algebraic structures that generalize the properties of matrices and quaternions, focusing on the Jordan product, which is commutative but not necessarily associative. This structure is particularly useful in understanding symmetries and has applications in quantum mechanics, particularly in the study of observables. Jordan algebras are characterized by a specific type of commutative product that satisfies the Jordan identity, ensuring certain algebraic properties hold. These algebras are named after Jordan due to his foundational work in this area, and they play a crucial role in various branches of mathematics and theoretical physics.
