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Orthogonal and symplectic Yangians - linear and quadratic evaluations

Mathematical Physics 2018-08-01 v2 High Energy Physics - Theory math.MP Quantum Algebra

Abstract

Orthogonal or symplectic Yangians are defined by the Yang-Baxter RLLRLL relation involving the fundamental RR matrix with so(n)so(n) or sp(2m)sp(2m) symmetry. Simple LL 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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Cite

@article{arxiv.1712.06849,
  title  = {Orthogonal and symplectic Yangians - linear and quadratic evaluations},
  author = {D. Karakhanyan and R. Kirschner},
  journal= {arXiv preprint arXiv:1712.06849},
  year   = {2018}
}

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21 pages