Year: 2012
Type: article
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.
Source: Kyoto journal of mathematics
Authors: B. Feigin, M. Jimbo, T. Miwa, E. Mukhin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2951661581