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math.GR2015
Examples of algebraic groups of type G2 having the same maximal tori
Constantin Beli, Philippe Gille, Ting-Yu Lee
Answering a question of A. Rapinchuk, we construct examples of non- isomorphic semisimple algebraic groups H1 and H2 of type G2 with coherently equivalent systems of maximal k-tori…
math.GR2012★ 3 cited
Adjoint quotients of reductive groups
Ting-Yu Lee
Let $\rG$ be a reductive group over a commutative ring . In this article, we prove that the adjoint quotient $\adqG$ is stable under base change. Moreover, if $\rG$ has a maxima…
math.GR2012★ 2 cited
Embedding functors and their arithmetic properties
Ting-Yu Lee
In this article, we focus on how to embed a torus $\rT$ into a reductive group $\rG$ with respect to a given root datum over a scheme $\rS$. This problem also relates to how to…