Models of q-algebra representations : Tensor products of special unitary and oscillator algebras

@inproceedings{Kalnins1999ModelsOQ,
title={Models of q-algebra representations : Tensor products of special unitary and oscillator algebras},
author={E. G. Kalnins},
year={1999}
}

E. G. Kalnins

Published 1999

This paper begins a study of oneand two-variable function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. The algebras considered are the quantum algebra U,(su2) and a q analog of the oscillator algebra (not a quantum algebra). In each case a simple one-variable model of the positive discrete series of finiteand infinitedimensional irreducible representations is used to compute the… CONTINUE READING