Example 89.11.10. Since $\mathcal{C}_\Lambda$ contains all $k[V]$ for finite dimensional vector spaces $V$ we see that Definition 89.11.9 applies with $S = \Lambda$, $R = k$, $\mathcal{C} = \mathcal{C}_\Lambda$, and $F : \mathcal{C}_\Lambda \to \textit{Sets}$ a predeformation functor. The tangent space is $TF = F(k[\epsilon ])$.

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