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Super Yangian Double and its Central Extension

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arxiv q-alg/9703027 v3 pith:LC33YFKB submitted 1997-03-16 q-alg math.QA

Yao-Zhong Zhang This is my paper · ORCID
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keywords centraldoubleextensionhbarsuperyangiancomultiplicationcurrent
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abstract

We introduce super Yangian double $DY_\hbar[gl(m|n)]$ and its central extension $\widehat{DY_\hbar[gl(m|n)]}$. We give their defining relations in terms of current generators and obtain Drinfeld comultiplication.

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  1. Double Yangian and reflection algebras of the Lie superalgebra $\mathfrak{gl}_{M|N}$, II: Quantum currents

    math.QA 2026-08 conditional novelty 6.0 of 10

    The authors extend the Etingof-Kazhdan quantum vertex algebra construction and the critical-level central element construction from the double Yangian of gl_M to the Lie superalgebra gl_{M|N}.

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