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Paper   IPM / Physic / 6501
School of Physics
  Title:   A Study of Representation of the Algebra of Functions on the Quantum Group GLq(n)
  Author(s):  V. Karimipour
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  28
  Vol.:  27
  Year:  1994
  Pages:   8105-8122
  Supported by:  IPM
A q-analogue of the root system is constructed for this algebra which is similar to the root system of classical Lie algebras. It is then used to construct, in detail, a class of representations of the algebra of functions on the quantum group GLq(n), and a q-boson realization of the generators of GLq(n) is given. I also construct infinite-dimensional Hilbert-space representations of this algebra. The main result of this paper is stated in proposition 8.

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