Braid Group Action on Affine Yangian

dc.contributor.authorKodera, R.
dc.date.accessioned2025-12-02T09:29:56Z
dc.date.issued2019
dc.description.abstractWe study braid group actions on Yangians associated with symmetrizable Kac-Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to prove that the image of the evaluation map contains the diagonal Heisenberg algebra inside ĝlN.
dc.description.sponsorshipThe author would like to thank Yoshihisa Saito for suggesting that he study braid group action on the affine Yangian. Discussions with him improved the contents of this paper. He also thanks Nicolas Guay for telling him the reference [3] and the referees for their helpful comments. This work was supported by JSPS KAKENHI Grant Numbers 26287004, 17H06127, 18K13390, and the Kyoto University Foundation.
dc.identifier.citationBraid Group Action on Affine Yangian / R. Kodera // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 18 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.020
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B10; 17B37; 17B67
dc.identifier.otherarXiv: 1805.01621
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210055
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleBraid Group Action on Affine Yangian
dc.typeArticle

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