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Degeneration of Trigonometric Dynamical Difference Equations for Quantum Loop Algebras to Trigonometric Casimir Equations for Yangians

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Abstract

We show that, under Drinfeld’s degeneration (Proceedings of the International Congress of Mathematicians. American Mathematical Society, Providence, pp 798–820, 1987) of quantum loop algebras to Yangians, the trigonometric dynamical difference equations [Etingof and Varchenko (Adv Math 167:74–127, 2002)] for the quantum affine algebra degenerate to the trigonometric Casimir differential equations [Toledano Laredo (J Algebra 329:286–327, 2011)] for Yangians.

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Author notes

  1. Martina Balagović

    Present address: School of Mathematics and Statistics, Newcastle University, Newcastle, UK

Authors and Affiliations

  1. Department of Mathematics, University of York, York, UK

    Martina Balagović

  2. Department of Mathematics, University of Zagreb, Zagreb, Croatia

    Martina Balagović

Authors
  1. Martina Balagović
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Correspondence to Martina Balagović.

Additional information

Communicated by N. Reshetikhin

Supported by the EPSRC Grant EP/I014071/1.

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Balagović, M. Degeneration of Trigonometric Dynamical Difference Equations for Quantum Loop Algebras to Trigonometric Casimir Equations for Yangians. Commun. Math. Phys. 334, 629–659 (2015). https://doi.org/10.1007/s00220-014-2284-6

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  • DOI: https://doi.org/10.1007/s00220-014-2284-6

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