most citedThe Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity

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math.QA2009★ 66 cited

The Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity

K. Nagatomo, A. Tsuchiya

We prove the abelian category of the modules over triplet VOA W(p) is category equivalent to the abelian category of the modules over quantum algebra of type sl_2 at root of unity.