Let $\mathbb{ k}$ be an algebraically closed field of characteristic $ p>0. $ In this short note, we illustrate a class of Lie superalgebras over $ \mathbb{ k} $ such that the category of restricted supermodules is of one block. As an application, if $ p>3 $ and $ \mathfrak{ g} $ is a graded restricted Cartan type Lie superalgebra of type W, S and H, then the category of restricted $ \mathfrak{ g} $ supermodules is of one block.
Categories: math.RT