Representations of quantum toroidal $gl_n$

Details Representations of quantum toroidal $gl_n$ Representations of quantum toroidal $gl_n$

2012-04-24

arxiv.org/abs/1204.5378v1

Mathematics

Quantum Algebra

Latex 31 pages

Scientific paper

We define and study representations of quantum toroidal $gl_n$ 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 $gl_n$ with generic level.

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