Uq(sl(n)) Difference Operator Realization
Azizollah Shafiekhani
Abstract
A unified and systematic scheme for constraction of differential opreator realization of any irreducible representation of sl(n) is developed. The q-analogue of this unified scheme is used to constract 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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