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In [6], there is a graphic description of any irreducible, finite dimensional $\mathrm{𝔰𝔩}\left(3\right)$ module. This construction, called diamond representation is very simple and can be easily extended to the space of irreducible finite dimensional ${𝒰}_q\left(\mathrm{𝔰𝔩}\left(3\right)\right)$-modules. In the present work, we generalize this construction to $\mathrm{𝔰𝔩}\left(n\right)$. We show it is in fact a description of the reduced shape algebra, a quotient of the shape algebra of $\mathrm{𝔰𝔩}\left(n\right)$. The basis used in [