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        Equivalences between three presentations of orthogonal and symplectic Yangians

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        VR_AAM.pdf (PDF, 384Kb)
        Author
        Guay, Nicolas
        Regelskis, Vidas
        Wendlandt, Curtis
        Attention
        2299/21191
        Abstract
        We prove the equivalence of two presentations of the Yangian Y(g) of a simple Lie algebra g, and we also show the equivalence with a third presentation when g is either an orthogonal or a symplectic Lie algebra. As an application, we obtain an explicit correspondence between two versions of the classification theorem of finite-dimensional irreducible modules for orthogonal and symplectic Yangians.
        Publication date
        2019-02-01
        Published in
        Letters in Mathematical Physics
        Published version
        https://doi.org/10.1007/s11005-018-1108-6
        Other links
        http://hdl.handle.net/2299/21191
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