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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.

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