Abstract
We consider principal subspace W(Λ) of integrable highest weight module L(Λ) for quantum affine algebra Uq(slˆn+1). We introduce quantum analogues of the quasi-particles associated with the principal subspaces for slˆn+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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