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

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

2009-09-09

arxiv.org/abs/0909.1730v1

Trans. Amer. Math. Soc. 363 (2011), no. 7, 3769--3797

Mathematics

Quantum Algebra

Scientific paper

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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