In recent years, certain representations of polynomial Lie algebras have given crucial new insight into the spectra of quantum mechanical models. This project will develop a systematic approach to the representation theory of these algebras. It will also construct and analyse differential operator realisations of the algebras and their relations to the theory of special functions.

Project members

Supervisor: Ian Marquette

Dr Ian Marquette

ARC Future Fellow
School of Mathematics and Physics
UQ Amplify Senior Lecturer