Compact symplectic nilmanifolds associated with graphs

Hannes Pouseele, Paulo Tirao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.

Original languageEnglish
Pages (from-to)1788-1794
Number of pages7
JournalJournal of Pure and Applied Algebra
Volume213
Issue number9
DOIs
StatePublished - Sep 2009
Externally publishedYes

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