(Neelain University, 2016) Ismail Mustafa Mohammed Othman
Abstract _
In this research we studied Lie groups and Lie algebras . We considered the
classification theory of complex and semi-simple Lie algebras , provided with sufficient
knowledge of the properties of Lie algebras . We then concentrated on the application
of Lie algebra to the conservation laws , in particular Noether theorem . We also studied
the application of Lie algebra to particle physics including the utility of the
representation theory of the five dimensional special unitary group. We concluded our
research program with the study of symmetry groups of differential equations.
