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

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

2000-08-06

arxiv.org/abs/math/0008046v1

Mathematics

Quantum Algebra

15 pages

Scientific paper

10.1063/1.1389089

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 $U_\epsilon ^{res}(sl_2)$ of type 1 are constructed through the
restricted q-Fock spaces.

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