Abstract
In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl1-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions.We study the corresponding formal characters. As an application we obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl-modules.
| Original language | English |
|---|---|
| Pages (from-to) | 621-659 |
| Number of pages | 39 |
| Journal | Kyoto Journal of Mathematics |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2012 |
| Externally published | Yes |