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

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