Vertex Representations for Yangians of Kac-Moody algebras

Guay, Nicolas, Regelskis, Vidas and Wendlandt, Curtis (2019) Vertex Representations for Yangians of Kac-Moody algebras. Journal de l’École polytechnique — Mathématiques (JEP). ISSN 2429-7100

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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.

Item Type	Article
Identification Number	10.5802/jep.103
Additional information	30 pages
Keywords	math.rt, math.qa
Date Deposited	15 May 2025 13:55
Last Modified	22 Oct 2025 19:41