Representations of $U_ε^{res}(sl_2)$ via Restricted q-Fock Spaces

Xufeng Liu; Changpu Sun

doi:10.1063/1.1389089

paper

Representations of $U_{ε}^{r es} (s l_{2})$ via Restricted q-Fock Spaces

arXiv:math/0008046 · doi:10.1063/1.1389089

Abstract

Two restricted $C [q, q^{- 1}] -$ 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 $U_{ε}^{r es} (s l_{2})$ of type 1 are constructed through the restricted q-Fock spaces.

arXiv comment15 pages

Representations of Uεres​(sl2​) via Restricted q-Fock Spaces

Abstract

Representations of $U_{ε}^{r es} (s l_{2})$ via Restricted q-Fock Spaces