Compact symplectic nilmanifolds associated with graphs

Hannes Pouseele; Paulo Tirao

doi:10.1016/j.jpaa.2009.01.014

Compact symplectic nilmanifolds associated with graphs

Hannes Pouseele, Paulo Tirao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1788-1794
Number of pages	7
Journal	Journal of Pure and Applied Algebra
Volume	213
Issue number	9
DOIs	https://doi.org/10.1016/j.jpaa.2009.01.014
State	Published - Sep 2009
Externally published	Yes

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10.1016/j.jpaa.2009.01.014

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title = "Compact symplectic nilmanifolds associated with graphs",

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.",

author = "Hannes Pouseele and Paulo Tirao",

note = "Funding Information: This work was supported by an international cooperation project FWO-Secyt (Belgium–Argentina). We are grateful to the Katholieke Universiteit Leuven Campus Kortrijk and the Universidad Nacional de C{\'o}rdoba for their hospitality and nice working conditions provided during our mutual visits. ",

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AU - Tirao, Paulo

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PY - 2009/9

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N2 - 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.

AB - 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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DO - 10.1016/j.jpaa.2009.01.014

M3 - 文章

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EP - 1794

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

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ER -

Compact symplectic nilmanifolds associated with graphs

Abstract

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