Derivations and Automorphisms of the Symplectic Oscillator Lie Algebra

In this paper, we describe explicitly the structure of the derivation algebra and automorphism group of the symplectic oscillator Lie algebra [Formula: see text] ([Formula: see text]), where [Formula: see text] is the symplectic Lie algebra and [Formula: see text] is the [Formula: see text]-dimensional Heisenberg algebra.