Representations of quantum toroidal $gl_n$
  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. 
B. Feigin, M. Jimbo, T. Miwa, and E. Mukhin
math.QA