Theoretical and Mathematical Physics

, Volume 192, Issue 2, pp 1154–1161 | Cite as

Second-order evaluations of orthogonal and symplectic Yangians

  • D. R. Karakhanyan
  • R. Kirschner


Orthogonal or symplectic Yangians are defined by the Yang–Baxter RLL relation involving the fundamental R-matrix with the corresponding so(n) or sp(2m) symmetry. We investigate the second-order solution conditions, where the expansion of L(u) in u −1 is truncated at the second power, and we derive the relations for the two nontrivial terms in L(u).


integrable systems Yang–Baxter relation orthogonal Lie algebra symplectic Lie algebra truncated Yangian 


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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Yerevan Physics InstituteYerevanArmenia
  2. 2.Institut für Theoretische PhysikUniversität LeipzigLeipzigGermany

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