Higher level Fock spaces and affine Yangian
Representation Theory
2016-07-13 v1 Quantum Algebra
Abstract
We construct actions of the affine Yangian of type A on higher level Fock spaces by extending known actions of the Yangian of finite type A due to Uglov. This is a degenerate analog of a result by Takemura-Uglov, which constructed actions of the quantum toroidal algebra on higher level -deformed Fock spaces.
Keywords
Cite
@article{arxiv.1607.03237,
title = {Higher level Fock spaces and affine Yangian},
author = {Ryosuke Kodera},
journal= {arXiv preprint arXiv:1607.03237},
year = {2016}
}
Comments
22 pages