Derivations and Automorphisms of the Symplectic Oscillator Lie Algebra

Key Points

• The study aims to explicitly describe the derivation algebra and automorphism group of the symplectic oscillator Lie algebra.
• Analysis of the structure of the symplectic oscillator Lie algebra
• Identification of derivation algebra properties
• Exploration of the automorphism group structure
• Explicit structure of the derivation algebra is provided.
• Automorphism group of the symplectic oscillator Lie algebra is characterized.