Representations of quantum toroidal $gl_n$

math.QA

/ Authors

/ Abstract

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.

Representations of quantum toroidal $gl_n$

math.QA

/ Authors

B. Feigin, M. Jimbo, T. Miwa, E. Mukhin

/ Abstract

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.