We extend to the context of algebraic groups a classical result on extensions of abstract groups relating the set of isomorphism classes of extensions of by with that of extensions of by the center of . The proof should be easily generalizable to other contexts. We also study the subset of classes of split extensions and give a quick application by proving a finiteness result on these sets over a finite field.
Cite this article
Mathieu Florence, Giancarlo Lucchini Arteche, On extensions of algebraic groups. Enseign. Math. 65 (2019), no. 3/4, pp. 441–455DOI 10.4171/LEM/65-3/4-5