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Orthogonal and Symplectic Yangians and Lie Algebra Representations


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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.

About the authors

D. Karakhanyan

Yerevan Physics Institute

Author for correspondence.
Email: karakhan@yerphi.am
Armenia, Yerevan

R. Kirschner

Institut für Theoretische Physik

Email: karakhan@yerphi.am
Germany, Leipzig

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