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Why does the variety of ideals in this quaternion type algebra have a non-reduced structure?

Let $\mathcal{B}\mathcal{S}(A): Sch_{\mathbb{C}}^{op}\rightarrow Sets$ be the functor that sends the $\mathbb{C}$-scheme $X$ to the set of left ideals $I\subset A\otimes\mathcal{O}_X$ such that $(A\otimes …