In physics, the Lorentz group is the group of all Lorentz transformations, which preserve the spacetime interval between any two events in Minkowski spacetime. A unitary representation of the Lorentz group is a mathematical representation of the group in which the group operations are implemented by unitary operators. In other words, a unitary representation is a way to represent the Lorentz group using matrices that preserve the inner product of a complex vector space. These representations are used in the study of relativistic quantum field theory, where they play an important role in understanding the symmetries of the theory.