Representations for three-point Lie algebras of genus zero
Representation Theory
2019-09-09 v1 Mathematical Physics
math.MP
Quantum Algebra
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1909.02763,
title = {Representations for three-point Lie algebras of genus zero},
author = {Dong Liu and Yufeng Pei and Limeng Xia},
journal= {arXiv preprint arXiv:1909.02763},
year = {2019}
}
Comments
Latex, 15 pages