Is $k$-diagonalizable element in split maximal torus of $G(k)$? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T07:36:27Z http://mathoverflow.net/feeds/question/110482 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/110482/is-k-diagonalizable-element-in-split-maximal-torus-of-gk Is $k$-diagonalizable element in split maximal torus of $G(k)$? unknown (google) 2012-10-23T22:17:03Z 2012-10-23T22:17:03Z <p>let $k$ be any field of char 0. $G$ is split reductive algebriac group over k. Let p in G(k) be k-diagonalizable. Does there exist a split maximal torus of G(k) containing p? I know that is ture for lie algbera case.</p>