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A note on the generalized neutral orthogonal group in dimension four. (English) Zbl 1145.70008
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 \(o(2,2)\).

70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics
22E70 Applications of Lie groups to the sciences; explicit representations
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