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Article

Representations of quantum toroidal gln

Journal of Algebra. 2013. Vol. 380. P. 78-108.
Feigin B. L., Jimbo M., Miwa T., Mukhin E.

We define and study representations of quantum toroidal gln with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine gln with generic level.