A coset-type construction for the deformed Virasoro algebra

Mathematics – Quantum Algebra

Scientific paper

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16 pages LaTex; added errata

Scientific paper

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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