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arxiv: 1505.03619 · v1 · pith:OU7DGR4Dnew · submitted 2015-05-14 · 🧮 math.QA · math-ph· math.MP· math.RT

From Twisted Quantum Loop Algebras to Twisted Yangians

classification 🧮 math.QA math-phmath.MPmath.RT
keywords twistedalgebrasloopquantumyangiansalgebraanaloguescorresponding
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We prove how the Yangian of $\mathfrak{gl}_N$ in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues.

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