Hypersymplectic Four-dimensional Lie Algebras
نویسنده
چکیده
A study is made of real Lie algebras admitting a hypersymplectic structure, and we provide a method to construct such hypersymplectic Lie algebras. We use this method in order to obtain the classification of all hypersymplectic structures on fourdimensional Lie algebras, and we describe the associated metrics on the corresponding Lie groups. MSC. 17B60, 53C15, 53C30, 53C50.
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تاریخ انتشار 2003