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Vertex Representations for Yangians of Kac-Moody algebras

Representation Theory 2019-10-01 v2 Quantum Algebra

Abstract

Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the PBW property for simply laced affine Yangians.

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Cite

@article{arxiv.1804.04081,
  title  = {Vertex Representations for Yangians of Kac-Moody algebras},
  author = {Nicolas Guay and Vidas Regelskis and Curtis Wendlandt},
  journal= {arXiv preprint arXiv:1804.04081},
  year   = {2019}
}

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30 pages