Principal subspaces for quantum affine algebra Uq(An(1))

@article{Koi2014PrincipalSF,
  title={Principal subspaces for quantum affine algebra Uq(An(1))},
  author={S. Ko{\vz}i{\'c}},
  journal={Journal of Pure and Applied Algebra},
  year={2014},
  volume={218},
  pages={2119-2148}
}
  • S. Kožić
  • Published 2014
  • Mathematics
  • Journal of Pure and Applied Algebra
Abstract We consider principal subspace W ( Λ ) of integrable highest weight module L ( Λ ) for quantum affine algebra U q ( sl ˆ n + 1 ) . We introduce quantum analogues of the quasi-particles associated with the principal subspaces for sl ˆ n + 1 and discover certain relations among them. By using these relations we find, for certain highest weight Λ, combinatorial bases of principal subspace W ( Λ ) in terms of monomials of quantum quasi-particles. 
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