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The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups. (English) Zbl 1211.17019
Authors’ summary: “We study the derivation Lie algebra of the higher rank Virasoro-like algebra. We prove that it is 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.” The main results are, however, special cases resp. easy consequences of two papers of {\it K. Zhao} and {\it D. Ž. \Dj oković} [J. Algebra 193, No. 1, 144--179 (1997; Zbl 0978.17015) and J. Pure Appl. Algebra 127, No. 2, 153--165 (1998; Zbl 0929.17025)].
##### MSC:
 17B65 Infinite-dimensional Lie (super)algebras 17B40 Automorphisms, derivations and other operators on Lie algebras
Full Text:
##### References:
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