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math.DG2000
Classification of indefinite hyper-Kaehler symmetric spaces
Dmitri V. Alekseevsky, Vicente Cortes
We classify indefinite simply connected hyper-Kaehler symmetric spaces. Any such space without flat factor has commutative holonomy group and signature (4m,4m). We establish a natu…
math.DG2000
Extensions of Lie algebras
Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomological obstruction to the existence of extensions. A striking analogy to the setting of c…