Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types

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dc.contributor.authorLiashyk, Andrii
dc.contributor.authorPakuliak, Stanislav Z.
dc.date.accessioned2025-12-22T09:20:00Z
dc.date.issued2020
dc.description.abstractWe consider relations between Gauss coordinates of 𝑇-operators for the Yangian doubles of the classical types corresponding to the algebras 𝖌 of 𝐴, 𝐵, 𝐶, and 𝐷 series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related to 𝖌-invariant 𝑅-matrices and the construction of the Bethe vectors in these models.
dc.description.sponsorshipThe work was performed at the Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow. This work is supported by the Russian Science Foundation under grant 19-11-00062. Authors thank E. Ragoucy and N.A. Slavnov for fruitful discussions. The authors are grateful to the anonymous referees for essential comments that allowed us to improve this paper.
dc.identifier.citationGauss Coordinates vs Currents for the Yangian Doubles of the Classical Types. Andrii Liashyk and Stanislav Z. Pakuliak. SIGMA 16 (2020), 120, 23 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.120
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 82B23; 81R12; 81R50; 17B80
dc.identifier.otherarXiv:2006.01579
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211000
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleGauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік