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arXiv · 0909.1730

Two-parameter quantum vertex representations via finite groups and the McKay correspondence

Naihuan Jing·Honglian Zhang
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Abstract

We introduce two-parameter quantum toroidal algebras of simply laced types and provide their group theoretic realization using finite subgroups of $SL_2(\mathbb C)$ via McKay correspondence. In particular our construction contains a realization of the vertex representation of the two-parameter quantum affine algebras of $ADE$ types.

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Naihuan Jing, Honglian Zhang. 2009-09-09. Two-parameter quantum vertex representations via finite groups and the McKay correspondence. https://arxiv.org/abs/0909.1730

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