$U_q(sl(n))$ Difference Operator Realization

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.

12 pages

References in corpus (1)

• Free Field Representation for the Classical Limit of Quantum Affine Algebra

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