A note on the zeroth products of Frenkel–Jing operators

@article{Koi2017ANO,
  title={A note on the zeroth products of Frenkel–Jing operators},
  author={S. Ko{\vz}i{\'c}},
  journal={Journal of Algebra and Its Applications},
  year={2017},
  volume={16},
  pages={1750053-1-1750053-25}
}
  • S. Kožić
  • Published 2017
  • Mathematics
  • Journal of Algebra and Its Applications
Let 𝔤 be an untwisted affine Kac–Moody Lie algebra. The top of every irreducible highest weight integrable 𝔤-module is the finite-dimensional irreducible 𝔤-module, where the action of the simple Lie algebra 𝔤 is given by zeroth products arising from the underlying vertex operator algebra theory. Motivated by this fact, we consider zeroth products of level 1 Frenkel–Jing operators corresponding to Drinfeld realization of the quantum affine algebra Uq(𝔰𝔩 n+1). By applying these products… Expand
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