Motivated by the intensive and powerful works concerning additive
mappings of operator algebras, we mainly study Lie-type higher
derivations on operator algebras in the current work. It is shown
that every Lie (triple-)higher derivation on some classical operator
algebras is of standard form. The definition of Lie $n$-higher
derivations on operator algebras and related potential research
topics are properly-posed at the end of this article.
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