nspired by the work of J$\o$rgensen [J], we define a (upper-, lower-) symmetric recollements; and give a one-one correspondence between the equivalent classes of the upper-symmetric recollements and one of the lower-symmetric recollements, of a triangulated category. Let $\m = \left(\begin{ smallmatrix} A&M 0&B \end{ smallmatrix}\right)$ with bimodule $_AM_B$. We construct an upper-symmetric abelian category recollement of $\m$-mod; and a symmetric triangulated category recollement of $\underline { \m\mbox{ -}\mathcal Gproj}$ if $A$ and $B$ are Gorenstein and $_AM$ and $M_B$ are projective.
Categories: math.RT