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arxiv: q-alg/9709037 · v2 · submitted 1997-09-25 · q-alg · math.QA

A coset-type construction for the deformed Virasoro algebra

classification q-alg math.QA
keywords algebraconstructiondeformedvirasoroaffineanalogconstructedcoset-type
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An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra $U_q(\hat{sl}_2)$. A similar construction is proposed for the elliptic algebra $A_{q,p}(\hat{sl}_2)$.

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