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

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

1994-08-31

arxiv.org/abs/hep-th/9408173v1

Mod.Phys.Lett. A9 (1994) 3273-3284

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1142/S0217732394003099

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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