Representations of quantum toroidal $g{l}_n$

Abstract

We define and study representations of quantum toroidal $g{l}_n$ 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 $g{l}_n$ with generic level.

Latex 31 pages

References in corpus (1)

• Schur duality in the toroidal setting

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