Journal of Lie Theory 23 (2013), No. 4, 1101--1103
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
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