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Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$ (CROSBI ID 209478)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kožić, Slaven Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$ // Journal of pure and applied algebra, 218 (2014), 11; 2119-2148. doi: 10.1016/j.jpaa.2014.03.008

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

Povezanost rada

Matematika

Poveznice
Indeksiranost