$L^{\pm}$ Operators and Quantum Enveloping Algebras

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The relations between $L^{\pm}$ operators and the generators in the quantum enveloping algebras are studied. The $L^{\pm}$ operators for $U_{q}A_{N}$ and $U_{q}G_{2}$ algebras are explicitly expressed by the generators as examples.
11 pages, no figure, Latex

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