Categorification of tensor powers of the vector representation of Uq(gl(1|1))

• Antonio Sartori ^[1]
  1. [1] University of Freiburg

     University of Freiburg

     Stadtkreis Freiburg im Breisgau, Alemania

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 2, 2016, págs. 669-734
• Idioma: inglés
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• Resumen

  • We consider the monoidal subcategory of finite-dimensional representations of Uq(gl(1|1))Uq(gl(1|1)) generated by the vector representation, and we provide a diagram calculus for the intertwining operators, which allows to compute explicitly the canonical basis. We construct then a categorification of these representations and of the action of both Uq(gl(1|1))Uq(gl(1|1)) and the intertwining operators using subquotient categories of the BGG category .