Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$ (CROSBI ID 209478)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kožić, Slaven
engleski
Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$
We consider principal subspace $W(\Lambda)$ of integrable highest weight module $L(\Lambda)$ 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 $\Lambda$, combinatorial bases of principal subspace $W(\Lambda)$ in terms of monomials of quantum quasi-particles.
affine Lie algebra; quantum affine algebra; quantum vertex algebra; principal subspace; quasi-particle; combinatorial basis
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Podaci o izdanju
218 (11)
2014.
2119-2148
objavljeno
0022-4049
10.1016/j.jpaa.2014.03.008