LetCl+1(R)be the2(l+1)×2(l+1)matrix symplectic Lie algebra over a commutative ringRwith 2 invertible. Thentl+1CR = {m-1m-20-m-1T ∣ m̅1is anl+1upper triangular matrix,m̅2T=m̅2, over R}is the solvable subalgebra ofCl+1(R). In this paper, we give an explicit description of the automorphism group oftl+1(C)(R).
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