Compact symplectic nilmanifolds associated with graphs

被引：14
|
作者：
Pouseele, Hannes [2 ]
Tirao, Paulo [1 ]
机构：
[1] Univ Nacl Cordoba, FaMAF, CIEM, RA-5000 Cordoba, Argentina
[2] Katholieke Univ Leuven, KULAK, Louvain, Belgium
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2009年 / 213卷 / 09期
关键词：
NILPOTENT LIE-ALGEBRAS; HOMOLOGY;
D O I：
10.1016/j.jpaa.2009.01.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2009 Elsevier B.V. All rights reserved.
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页码：1788 / 1794
页数：7
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