Isomorphic Chevalley groups over integral domains
Let \(G\) be a Chevalley-Demazure group scheme. It is well-known that, as a representable covariant functor from the category of commutative rings to the category of groups, \(G\) is uniquely determined by the semisimple complex Lie group \(G (\mathbb{C})\). The author generalizes this result for simple Chevalley-Demazure group schemes, as well as for absolutely almost simple algebraic groups, by replacing the complex field \(\mathbb{C}\) by an integral domain containing an infinite field.
absolutely almost simple algebraic groups
scientific article; zbMATH DE number 763304