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arXiv · 1506.00050

A note on the zeroth products of Frenkel-Jing operators

Slaven Kozic
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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.

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Slaven Kozic. 2015-05-30. A note on the zeroth products of Frenkel-Jing operators. https://doi.org/10.1142/s0219498817500530

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