Matching and geometry of 2-step nilpotent Lie groups
Babak Hasanzadeh
Abstract
Open-access reader
Babak Hasanzadeh
Abstract
Open-access reader
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.
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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.
Key concepts: Simple Lie group, Lie theory, Mathematics, Lie group, Central series, Nilpotent, Pure mathematics, Nilpotent group