Super Poisson-Lie structure on $SU(m\text{ve}n)$ via $SL(m\text{ve}n,\text{C}{)}^{\mathbb{R}}$

This paper concerns a super Poisson-Lie structure on the real Lie supergroup $SU(m\text{ve}n)$. In fact, it turns out that the realification of the complex Lie supergroup $SL(m\text{ve}n,\text{C})$ is a double of $SU(m\text{ve}n)$ i.e. it is endowed with a structure of super Poisson-Lie which brings down on the supergroup $SU(m \ve n)$\mathrm{.}WeshowthatthedualPoisson-Liesupergroupof$SU(m\ve n)$is$s(AN)$\mathrm{.}Reciprocaly,$s(AN)$ inherits a super Poisson-Lie structure from the realification of $SL(m\text{ve}n,\text{C})$ such that its dual Poisson-Lie supergroup is $SU(m\text{ve}n)$.