
Journal of Lie Theory 23 (2013), No. 4, 11011103 Copyright Heldermann Verlag 2013 A Note on Orthogonal Lie Algebras in Dimension 4 Viewed as Current Lie Algebras Martin Chaktoura Dept. of Mathematics, University of Regina, Regina, Saskatchewan, Canada S4S 0A2 martin_chaktoura@yahoo.com.ar Fernando Szechtman Dept. of Mathematics, University of Regina, Regina, Saskatchewan, Canada S4S 0A2 fernando.szechtman@gmail.com Orthogonal Lie algebras in dimension 4 are identified as current Lie algebras, thus producing a natural decomposition for them over any field. Keywords: Classical Lie algebras, current Lie algebras. MSC: 17B05 [ Fulltextpdf (163 KB)] for subscribers only. 