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Representations for three-point Lie algebras of genus zero

Representations for three-point Lie algebras of genus zero

In this paper, we study representations for three-point Lie algebras of genus zero based on the Coxā€“Jurisichā€™s presentations. We construct two functors which transform simple restricted modules with nonzero levels over the standard affine algebras into simple modules over the three-point affine algebras of genus zero. As a corollary, vertex ā€¦