Vertex operators and principal subspaces of level one for $U_q (\widehat{\mathfrak{sl}}_2)$

@article{Koi2016VertexOA,
  title={Vertex operators and principal subspaces of level one for \$U_q (\widehat\{\mathfrak\{sl\}\}_2)\$},
  author={S. Ko{\vz}i{\'c}},
  journal={Journal of Algebra},
  year={2016},
  volume={455},
  pages={251-290}
}
  • S. Kožić
  • Published 2016
  • Mathematics
  • Journal of Algebra
Abstract We consider two different methods of associating vertex algebraic structures with the level 1 principal subspaces for U q ( sl ˆ 2 ) . In the first approach, we introduce certain commutative operators and study the corresponding vertex algebra and its module. We find combinatorial bases for these objects and show that they coincide with the principal subspace bases found by B.L. Feigin and A.V. Stoyanovsky. In the second approach, we introduce the, so-called nonlocal q _ -vertex… Expand
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