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Some restrictions on existence of abelian complex structures Isabel Dotti University of Cordoba, Argentina |
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Abstract: We describe the structure of Lie groups admitting left invariant abelian complex structures in terms of commutative associative algebras. More precisely, we consider a distinguished class of Lie algebras admitting abelian complex structures given by abelian double products. The structure of these Lie algebras can be described in terms of a pair of commutative associative algebras satisfying a compatibility condition. We will show that when Joint work with A. Andrada and M. L. Barberis. Language: English |