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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 15th 2012

    stub for Yangian

  1. Link to Affine

    Ammar Husain

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeSep 17th 2023

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeSep 17th 2023

    Publication data updated and completed for

    • Sachin Gautam, Valerio Toledano-Laredo, Yangians and quantum loop algebras, Selecta Mathematica 19 (2013), 271-336 arXiv:1012.3687; Yangians, quantum loop algebras and abelian difference equations (Formerly: Yangians and quantum loop algebras II. Equivalence of categories via abelian difference equations) J. Amer. Math. Soc. 29 (2016) 775–824 arXiv:1310.7318; III. Meromorphic tensor equivalence for Yangians and quantum loop algebras, Publ.math. IHES 125, 267–337 (2017). doi arXiv:1403.5251

    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeSep 20th 2023

    Braided Yangians and Yangians associated to R-matrices were defined and studied in

    • Dmitri I. Gurevich, Pavel A. Saponov, Generalized Yangians and their Poisson counterparts, Theor. Math. Phys. 192, 1243–1257 (2017) doi

    diff, v10, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 5th 2023

    added pointer to this new preprint from last Friday (when it wasn’t visible yet, due to some glitch of the arXiv server):

    diff, v11, current

    • CommentRowNumber7.
    • CommentAuthorperezl.alonso
    • CommentTimeNov 7th 2023

    Does anybody know why recently there have been several papers about this?

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 8th 2023

    Maybe you could clarify what you are asking here? Why wouldn’t there be several articles on the topic?

    • CommentRowNumber9.
    • CommentAuthorperezl.alonso
    • CommentTimeNov 8th 2023

    I’m just curious as to why there have been several recent articles on this, has an important result in the field been proven recently? Or is there some novel application being discussed?

    • CommentRowNumber10.
    • CommentAuthorzskoda
    • CommentTimeNov 13th 2023

    It is like f you were asking the same question about vertex operator algebras. There are so many new connections to integrable models, Hall algebras, there are new generalizations/versions etc. it is going to stay as a very natural kind of quantum groups.