Geometric realizations of the basic representation of glˆr

• Joel Lemay ^[1]
  1. [1] University of Ottawa

     University of Ottawa

     Canadá

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 1, 2016, págs. 341-387
• Idioma: inglés
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• Resumen

  • The realizations of the basic representation of glˆrgl^r are known to be parametrized by partitions of r and have an explicit description in terms of vertex operators on the bosonic/fermionic Fock space. In this paper, we give a geometric interpretation of these realizations in terms of geometric operators acting on the equivariant cohomology of certain Nakajima quiver varieties.