Multi-Species Anyons Supersymmetry on Two-Dimensional Space

The algebra of multi-species anyons characterized by different statistical parameters ${\nu }_{ij}=e_i{e}_j{\mathrm{\Phi }}_i{\mathrm{\Phi }}_j\mathrm{/}(2\pi )$, $i,j=1,\mathrm{.}\mathrm{.}\mathrm{.},n$ is redefined by basing on fermions and $k_i$-fermions ($k_{i}\in\bf{N}\rm /{0,1}$with$i\in\bf{N}\rm $) and its superalgebra is constructed. The so-called fractional supersymmetry of multi-species anyons is realized on 2d lattice.