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

Abstract

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.

ACKNOWLEDGMENTS

We would like to thank Profs. I. Prigogine and S. Shkarin for their interest in this work. This work enjoyed the support of the Belgian Government through the Interuniversity Attraction Poles.