Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$

Abstract

We consider principal subspace W(Λ) of integrable highest weight module L(Λ) for quantum affine algebra $U_q({\widehat{\mathfrak{sl}}}_{n+1})$. We introduce quantum analogues of the quasi-particles associated with the principal subspaces for ${\widehat{\mathfrak{sl}}}_{n+1}$ 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.

31 pages

References in corpus (1)

• $H_D$-Quantum Vertex Algebras and Bicharacters

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