Corpus ID: 232240106

Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra

  title={Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra},
  author={Kang-Ya Lu},
  • K. Lu
  • Published 15 March 2021
  • Mathematics
We give explicit actions of Drinfeld generators on Gelfand-Tsetlin bases of super Yangian modules associated with skew Young diagrams. In particular, we give another proof that these representations are irreducible. We study irreducible tame Y(gl1|1)-modules and show that a finite-dimensional irreducible Y(gl1|1)-module is tame if and only if it is thin. We also give the analogous statements for quantum affine superalgebra of type A. 
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