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P-Twisted Affine Lie Algebras and Their Associated Vertex Algebras
Authors:DING Lu and ZHENG Zhu-Jun
Affiliation:1. Institute of Applied Mathematics, Academy of Mathematics andSystems Science, the Chinese Academy of Sciences, Beijing 100080, China;2. School of Mathematical Sciences, South China University ofTechnology, Guangzhou 510641, China;3. Institute of Mathematics, Henan University, Kaifeng 475001, China
Abstract:For any finite-dimensional semisimple Lie algebra g, a Z+-graded vertex algebra is construsted on the vacuumrepresentation Vk(hat{g}[ θ]) of hat{g}[θ], which isa one-dimentional central extension of θ-invariant subspace on the loop algebra Lg=gotimes C((t1/p)).
Keywords:p-twisted affine Lie algebra   vertex algebra   
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