Vertex representations for Yangians of Kac-Moody algebras

DOI10.5802/jep.103zbMath1452.17017arXiv1804.04081OpenAlexW3104459875WikidataQ127217630 ScholiaQ127217630MaRDI QIDQ2326240

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

Publication date: 7 October 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04081

zbMATH Keywords

Fock spaceKac-Moody algebravertex operatorYangiancentral extensiontwisted group algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (7)

Guay's affine Yangians and non-rectangular \(W\)-algebras ⋮ The \(R\)-matrix presentation for the rational form of a quantized enveloping algebra ⋮ The PBW theorem for affine Yangians ⋮ Level one Weyl modules for toroidal Lie algebras ⋮ Yangian doubles of classical types and their vertex representations ⋮ On Guay's evaluation map for affine Yangians ⋮ Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras

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