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The quantum damped harmonic oscillator is described by the master equationwith usual Lindblad form. The equation has been solved completely by us inarXiv : 0710.2724 [quant-ph]. To construct the general solution a few facts ofrepresentation theory based on the Lie algebra $su(1,1)$ were used.  In this paper we treat a general model described by a master equation withgeneralized Lindblad form. Then we examine the algebraic structure related tosome Lie algebras and construct the interesting approximate solution.

Algebraic Structure of a Master Equation with Generalized Lindblad Form