Compact symplectic nilmanifolds associated with graphs |
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| Authors: | Hannes Pouseele |
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| Institution: | a Katholieke Universiteit Leuven (KULAK), Belgium
b CIEM - FaMAF, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina |
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| Abstract: | In this paper we consider 2-step nilpotent Lie algebras, Lie groups and nilmanifolds associated with graphs. We present a combinatorial construction of the second cohomology group for these Lie algebras. This enables us to characterize those graphs giving rise to symplectic or contact nilmanifolds. |
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| Keywords: | Primary 53D05 53D10 secondary 17B56 |
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