This article is cited in 2 papers

Orthogonal and symplectic Yangians and Lie algebra representations

D. R. Karakhanyan^a, R. Kirshner<sup>b

a</sup> Yerevan Physics Institute, Yerevan, Armenia
^b LInstitut für Theoretischel Physik, Universität Leipzig, Leipzig, Germany

Abstract: Orthogonal or symplectic Yangians are defined by the Yang–Baxter RLL relation involving the fundamental $R$-matrix with $so(n)$ or $sp(2m)$ symmetry. We investigate the conditions on the first- and second-order evaluations as restrictions imposed on the representation weights.

Keywords: orthogonal and symplectic Yangian, first-order evaluation, second-order evaluation, Lie algebra representation.

Received: 21.12.2017
Revised: 22.05.2018

DOI: 10.4213/tmf9522

 English version: Theoretical and Mathematical Physics, 2019, 198:2, 239–248

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