Harbin
China
Heilongjiang University
Schr\"{o}dinger algebra, $\frac{1}{2}$-derivation, transposed Poisson algebra.
Post-Lie algebra, Heisenberg-Virasoro algebra, Rota-Baxter operator, Yang-
Post-Lie algebra, real oscillator algebras, Rota-Baxter operator. Mathematics Subject Classification: 17A30, 17B68
Oscillator algebra, matrix representation, Lie algebra, Leibniz algebra