Low Dimensional Contact Lie Algebras

Key Points

• To explore the structure of 7-dimensional contact nilpotent Lie algebras through explicit calculations and double extensions.
• Calculating the structure of 7-dimensional contact nilpotent Lie algebras.
• Describing the relationship between 7-dimensional and 5-dimensional contact nilpotent Lie algebras.
• Investigating the representation of (2n+1)-dimensional contact filiform Lie algebras.
• Established a framework for representing 7-dimensional contact nilpotent Lie algebras as double extensions.
• Illustrated explicit examples of (2n+1)-dimensional contact filiform Lie algebras as double extensions of smaller structures.