
doi: 10.5802/jolt.1351
The centerless Ovsienko-Roger algebra \(\mathfrak{L}_\lambda\) is an infinite-dimensional Lie algebra, which includes some important Lie algebras as special cases. For example, \(\mathfrak{L}_0\) is the centerless twisted Heisenberg-Virasoro algebra and \(\mathfrak{L}_1\) is the centerless \(W\)-algebra \(W(2,2)\). The authors studied 2-local derivations on the centerless Ovsienko-Roger algebra \(\mathfrak{L}_\lambda\). They proved that every 2-local derivation on \(\mathfrak{L}_\lambda\) is a derivation for \(\lambda \in \mathbb{C} \setminus \{0, 1, 2\}\).
2-local derivation, centerless Ovsienko-Roger algebra, Automorphisms, derivations, other operators for Lie algebras and super algebras, Infinite-dimensional Lie (super)algebras, derivation
2-local derivation, centerless Ovsienko-Roger algebra, Automorphisms, derivations, other operators for Lie algebras and super algebras, Infinite-dimensional Lie (super)algebras, derivation
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