A NOTE ON THE HARMONIC OSCILLATOR GROUP, QUASI-MONOMIALITY AND ENDOMORPHISMS OF THE VECTOR SPACES

摘要

This article is written with the aim to establish an equivalence between three different approaches related to special polynomial sequences. A result is proved showing the equivalence of the representation of a Lie algebra, quasi-monomiality and Lie algebra of endomorphism of vector spaces. The result is illustrated with the help of an example.