POINCARE-HILBERT SERIES,PI, AND NOETHERIANITY OF THE ENVELOPING OF THE RIT ALGEBRA

We investigate some properties, such as Poincaré–Hilbert series, growth, Noetherianity of the Relativistic Internal Time (RIT) Lie algebra which appears in non-equilibrium physics and its enveloping algebra U(RIT), using, in particular, the Groebner basis technique.