On extensions of algebraic groups
Mathieu Florence
Sorbonne Université, Paris, FranceGiancarlo Lucchini Arteche
Universidad de Chile, Ñuñoa, Santiago, Chile
![On extensions of algebraic groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-lem-volume-65-issue-3.png&w=3840&q=90)
Abstract
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. 441–455
DOI 10.4171/LEM/65-3/4-5