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Journal of Lie Theory 31 (2021), No. 2, 543--556 Copyright Heldermann Verlag 2021 Conformal Vector Fields on Lie Groups of Dimension 4 with Signature of (2,2) Ju Tan School of Mathematics and Physics, Anhui University of Technology, Maanshan 243032, P. R. China tanju2007@163.com Na Xu School of Mathematics and Physics, Anhui University of Technology, Maanshan 243032, P. R. China xuna406@163.com We classify Lie groups of dimension 4 with signature of (2,2) which admit non-Killing left-invariant conformal vector fields. Keywords: Conformal vector fields, Killing vector field, Lie group. MSC: 53C25, 22E60. [ Fulltext-pdf (132 KB)] for subscribers only. |