  In this paper, we determine the modular invariants of finite modular
pseudo-reflection subgroups of the finite general linear group $ \text{GL}_n(q)
$ acting on the tensor product of the symmetric algebra $ S^{\bullet}(V) $ and
the exterior algebra $ \wedge^{\bullet}(V) $ of the natural $ \text{GL}_n(q)
$-module $ V $. We are particularly interested in the case where $ G $ is a
subgroup of the parabolic subgroups of $ \text{GL}_n(q) $ which is a
generalization of Weyl group of Cartan type Lie algebra.
