Representations of $U_{\epsilon}^{res}(sl_2)$ via Restricted q-Fock Spaces
Quantum Algebra
2009-10-31 v1
Abstract
Two restricted forms of the well known q-boson algebra are introduced and the corresponding restricted q-Fock spaces defined. All of the irreducible highest weight representations, including the infinite dimensional ones, of of type 1 are constructed through the restricted q-Fock spaces.
Keywords
Cite
@article{arxiv.math/0008046,
title = {Representations of $U_{\epsilon}^{res}(sl_2)$ via Restricted q-Fock Spaces},
author = {Xufeng Liu and Changpu Sun},
journal= {arXiv preprint arXiv:math/0008046},
year = {2009}
}
Comments
15 pages