A note on the zeroth products of Frenkel-Jing operators

Abstract

Quantum vertex algebra theory, developed by H.-S. Li, allows us to apply zeroth products of Frenkel-Jing operators, corresponding to Drinfeld realization of $U_q({\widehat{\mathfrak{sl}}}_{n+1})$, on the extension of Koyama vertex operators. As a result, we obtain an infinite-dimensional space and describe its structure as a module for the associative algebra $U_q({\mathfrak{sl}}_{n+1}{)}_z$, a certain quantum analogue of $U({\mathfrak{sl}}_{n+1})$ which we introduce in this paper.

19 pages, 3 figures

References in corpus (2)

• $H_D$-Quantum Vertex Algebras and Bicharacters
• Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$

Cited by in corpus (2)

• Vertex operators and principal subspaces of level one for $U_q({\widehat{\mathfrak{sl}}}_2)$
• Higher level vertex operators for $U_q({\widehat{\mathfrak{sl}}}_2)$