Local (2-Local) derivations and automorphisms and biderivations of complex ω-Lie algebras
Abstract
The present paper is devoted to the description of local (2-local) deriva- tions and automorphisms and biderivations on some complex ω-Lie alge- bras. Given a three-dimensional complex ω-Lie algebras g, we prove that every local (2−local) derivation and automorphisms on g are derivations and automorphisms respectively if g is not C1. We give the matrix form of local derivations and automorphisms in the cases C1. Also, we give a de- scriptions of biderivations of three dimensional complex ω-Lie algebras.
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