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Monodromy operators for higher rank (1211.3590v2)
Published 15 Nov 2012 in math.QA, math-ph, math.CO, and math.MP
Abstract: We find the explicit form of the basic monodromy operators for the case of the quantum group $\mathrm U_q(\mathcal L(\mathfrak{sl}_3))$. Expressions for the quantum Casimir elements of the quantum groups $\mathrm U_q(\mathfrak{gl}_3)$ and $\mathrm U_q(\mathfrak{sl}_3)$ are obtained as a by-product.
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