Representations of quantum toroidal $gl_n$

Authors :: Feigin, B.
Jimbo, M.
Miwa, T.
Mukhin, E.
Publication Year :: 2012
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.<br />Comment: Latex 31 pages