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math.QA2010★ 2 cited
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Igor Frenkel, Minxian Zhu
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank associated to the modified regular rep…
math.QA2007★ 2 cited
Regular representations of the quantum groups at roots of unity
Minxian Zhu
We study the bimodule structure of the quantum function algebra at roots of 1 and prove that it admits an increasing filtration with factors isomorphic to the tensor products of th…
math.QA2006★ 4 cited
Vertex operator algebras associated to modified regular representations of affine Lie algebras
Minxian Zhu
Let be a simple complex Lie group with Lie algebra $\mf g$ and let $\af$ be the affine Lie algebra. We use intertwining operators and Knizhnik-Zamolodchikov equations to constr…