The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups

In this paper, we study the derivation Lie Algebra of the higher rank Virasoro-like algebra. We prove that it isomorphic to the skew derivation Lie Algebra. We also characterize the automorphism groups of the higher rank Virasoro-like algebra and the skew derivation Lie Algebra. This generalizes the result of some related references.