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“School of Physic”

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Paper   IPM / Physic / 6505
School of Physics
  Title:   Uq(sl(n)) Difference Operator Realization
  Author(s):  A. Shafiekhani
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  36
  Vol.:  9
  Year:  1994
  Pages:   3273-3283
  Supported by:  IPM
  Abstract:
A unified and systematic scheme for construction of differential operator realization of any irreducible representation of sl(n) is developed. The q-analog of this unified scheme is used to construct q-difference operator realization of any irreducible representation of Uq(sl(n)). Explicit results for Uq(sl(2)), Uq(sl(3)) and Uq(sl(n)) are given.

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