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We study isoparametric hypersurfaces, whose principal curvatures are allconstant, in the pseudo-Riemannian space forms. In this paper, we investigatetwo topics. Firstly, according to representations of Clifford algebras, we givea construction of Clifford systems of signature $(m, r)$ for any $(m, r)$explicitly. Secondly, we show that a (connected) isoparametric hypersurface ofOT-FKM-type whose focal variety is $M_{+}$ in the pseudo-sphere isinhomogeneous if the signature $(m, r)$ of its Clifford system on$\mathbb{R}^{2l}_{s}$ satisfies $m\equiv 0\pmod{4}$, $r\equiv 0\pmod{2}$ and$l>m$, showing that each connected component of $M_{+}$ is inhomogeneous.

Inhomogeneity of Isoparametric Hypersurfaces of OT-FKM-type in the Pseudo-Sphere