Baxter operators and asymptotic representations

• Giovanni Felder ^[1] ; Huafeng Zhang ^[1]
  1. [1] Swiss Federal Institute of Technology in Zurich

     Swiss Federal Institute of Technology in Zurich

     Zürich, Suiza

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 4, 2017, págs. 2947-2975
• Idioma: inglés
• DOI: 10.1007/s00029-017-0320-z
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• Resumen

  • We introduce a category O of representations of the elliptic quantum group associated with sl2 with well-behaved q-character theory. We derive separation of variables relations for asymptotic representations in the Grothendieck ring of this category.

    Baxter Q-operators are obtained as transfer matrices for asymptotic representations and obey T Q-relations as a consequence of the relations in K0(O).