Ghanam, Ryad A note on the generalized neutral orthogonal group in dimension four. (English) Zbl 1145.70008 Tamkang J. Math. 37, No. 1, 93-103 (2006). Summary: We study the main properties of generalized neutral orthogonal group \(O(2,2)\) and its Lie algebra \(o(2,2)\) and give an explicit isomorphism between Lie algebras \({\mathfrak{su}}(1,1)\oplus {\mathfrak{su}}(1,1)\) and \(o(2,2)\). We use this isomorphism to classify the subalgebras of \(o(2,2)\). Cited in 1 Document MSC: 70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics 22E70 Applications of Lie groups to the sciences; explicit representations Keywords:classification; explicit isomorphism PDFBibTeX XMLCite \textit{R. Ghanam}, Tamkang J. Math. 37, No. 1, 93--103 (2006; Zbl 1145.70008)