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arxiv: 1603.00237 · v2 · submitted 2016-03-01 · 🧮 math.QA · math-ph· math.MP· math.RT

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Center of the quantum affine vertex algebra in type A

Naihuan Jing , Slaven Ko\v{z}i\'c , Alexander Molev , Fan Yang
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classification 🧮 math.QA math-phmath.MPmath.RT
keywords algebracenterquantumtypevertexaffinealgebraicallyassociated
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We consider the quantum vertex algebra associated with the double Yangian in type A as defined by Etingof and Kazhdan. We show that its center is a commutative associative algebra and construct algebraically independent families of topological generators of the center at the critical level.

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  1. Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$

    math.QA 2026-04 unverdicted novelty 7.0

    The authors link suitably generalized deformed phi-coordinated modules of the quantum affine vertex algebra V^c(gl_N) to representations of U_h(gl_N) and O_h(Mat_N), showing that its center at critical level c=-N prod...