Abstract:
This thesis deals with polynomial algebras and applications to relativistic wave equations. It consists of three parts, Part I deals with polynomial algebras and some applications to the higher spin theories of relativistic wave equations. Part II deals with the general involutional matrices, and their representations. Part III discussses the relativistic equations for a spin 1/2 particle inequivalent to the Dirac equations and the algebra involved. The thesis deals with the generalisations of L-Matrix theory on the one hand to more general polynomial algebras, and on the other to problems relating to higher spins.