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

Xufeng Liu·Changpu Sun
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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 $U_ε^{res}(sl_2)$ of type 1 are constructed through the restricted q-Fock spaces.

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BibTeXRIS

Xufeng Liu, Changpu Sun. 2000-08-06. Representations of $U_ε^{res}(sl_2)$ via Restricted q-Fock Spaces. https://doi.org/10.1063/1.1389089

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