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Coproduct for the Yangian of an affine Kac-Moody algebra

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arxiv 1701.05288 v3 pith:MH4XA5TC submitted 2017-01-19 math.QA math.RT

Nicolas Guay , Hiraku Nakajima , Curtis Wendlandt This is my paper · ORCID
classification math.QAmath.RT
keywords algebracoproductkac-moodyyangianaffineassociatedconstructexplain
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Given an affine Kac-Moody algebra, we explain how to construct a coproduct for its associated Yangian. In order to prove that this coproduct is an algebra homomorphism, we obtain, in the first half of this paper, a minimalistic presentation of the Yangian when the Kac-Moody algebra is, more generally, symmetrizable.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues

    hep-th 2025-01 conditional novelty 7.0 of 10

    For quivers satisfying a no-overlap condition, flavored BPS indices are computed by crystal melting derived from Jeffrey-Kirwan residues, and new double quiver algebras are constructed whose crystal representations en...

  2. Weyl Mutations in Quiver Yangians

    hep-th 2026-01 conditional novelty 5.0 of 10

    Weyl group reflections act as Seiberg-like dualities on A_n quiver gauge theories, mapping stability chambers to each other while conjecturally leaving the quiver Yangian Y(sl_{n+1}) invariant.

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