English

Representations of quantum toroidal $gl_n$

Quantum Algebra 2012-04-25 v1

Abstract

We define and study representations of quantum toroidal glngl_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 glngl_n with generic level.

Keywords

Cite

@article{arxiv.1204.5378,
  title  = {Representations of quantum toroidal $gl_n$},
  author = {B. Feigin and M. Jimbo and T. Miwa and E. Mukhin},
  journal= {arXiv preprint arXiv:1204.5378},
  year   = {2012}
}

Comments

Latex 31 pages

R2 v1 2026-06-21T20:54:03.904Z