Lie Group and Lie Algebra

Abstract

Various properties of Lie group are given such as the orthogonal group and the unitary group. Lie algebras are also introduced and its relation to Lie group is given. Lie groups and the associated Lie algebra play an important role in modern physics. They play the role of the symmetry of a physical system. Examples of Lie group of particular importance are the Poincare group, the rotation group in three dimensions SO(3) or special orthogonal group and the special unitary group SU(3).