Matching and geometry of 2-step nilpotent Lie groups

2013/11/26 by Babak Hasanzadeh, Hasanzadeh, Babak
Mathematics · #53D10 (primary) #58B20 (secondary) #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #math.DG #msc:53D10 #msc:58B20

paper · pdf · doi:10.48550/arxiv.1311.6603

This manuscript is in 7 pages, do not have any figures

openalex publication_date 2013/11/26 · arxiv created 2017/06/09 · arxiv updated 2017/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study contact structure on 2-step nilpotent, Heisenberg type Lie groups. We decompose this Lie groups to center and orthogonal complement, then investigate properties of both orthogonal Lie subgroups. Finally, we provide a connection between matchings in groups and field extensions and 2-step nilpotent Lie groups.

Related

• Complex structures on two-step nilpotent Lie groups
• Pseudoriemannian 2-Step Nilpotent Lie Groups
• Killing-Yano 2-forms on 2-step nilpotent Lie groups
• Symplectic or contact structures on Lie Groups
• Graphs and Metric 2-step Nilpotent Lie Algebras