I'm seeing this in Jantzen's "Representations of algebraic groups".
2026-04-12 17:51:40.1776016300
What is the name of the functor $Sp_k$?
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This is the functor representing $\text{Spec}(k)$. In other words, it's the functor $A \mapsto \text{Hom}_k(k, A)$, and the set $\text{Hom}_k(k,A)$ ($k$-algebra maps from $k$ to $A$) has one element for any $k$-algebra $A$: this is almost by definition.