U_q(sl(n)) Difference Operator Realization
classification
✦ hep-th
math.QA
keywords
realizationdifferenceirreducibleoperatorrepresentationschemeunifiedanalogue
read the original 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 $U_q(sl(n))$. Explicit results for $U_q(sl(2))$, $U_q(sl(3))$ and $U_q(sl(n))$ are given.
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