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arxiv: 1712.06849 · v2 · pith:YFU4GCUHnew · submitted 2017-12-19 · 🧮 math-ph · hep-th· math.MP· math.QA

Orthogonal and symplectic Yangians - linear and quadratic evaluations

classification 🧮 math-ph hep-thmath.MPmath.QA
keywords conditionslinearorthogonalquadraticsymplecticyangiansdefineddependence
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Orthogonal or symplectic Yangians are defined by the Yang-Baxter $RLL$ relation involving the fundamental $R$ matrix with $so(n)$ or $sp(2m)$ symmetry. Simple $L$ operators with linear or quadratic dependence on the spectral parameter exist under restrictive conditions. These conditions are investigated in general form.

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