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19982005
most citedPartially-flat gauge fields on manifolds of dimension greater than four

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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…