Representations for three-point Lie algebras of genus zero

Dong Liu; Yufeng Pei; Limeng Xia

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arXiv · 1909.02763

Representations for three-point Lie algebras of genus zero

Dong Liu·Yufeng Pei·Limeng Xia

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Abstract

In this paper, we study representations for three-point Lie algebras of genus zero based on the Cox-Jurisich'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 representations are constructed for the three-point affine algebra of genus zero using vertex operators. Moreover, we construct a Fock module for certain quotient of three-point Virasoro algebra of genus zero.

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BibTeX RIS

Dong Liu, Yufeng Pei, Limeng Xia. 2019-09-06. Representations for three-point Lie algebras of genus zero. https://arxiv.org/abs/1909.02763

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