Abstract
The Lie Algebra associated with the SU(2) Group is a fundamental concept in Physics. It is made up of 2 X 2 complex Anti-hermitian matrices.
To determine the Lie Algebra (2), we find the commutation relations of the generators L1, L2, L3, which are the angular momentum in the X, Y, Z, Axis respectively and also for the L+, L-, L2, which are the raising operator, lowering operator, quadratic Casimir operator respectively.
The commutation relations of all the generator are done to know how they commute with one another.
The commutation relations between any two elements says, Lx and Ly can be gotten by:
[Lx, Ly] = LxLy – LyLx
For two elements to commute their commutation relations must be equal to zero.
