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}
}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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