3 citations · 5 across the 5 of their papers we have counts for
5 papers
Norm tori of etale algebras and unramified Brauer groups
Eva Bayer-Fluckiger, Ting-Yu Lee
Let be a field, and let be an étale k-algebra of finite rank. If is a nonzero element in , let be the affine variety defined by the norm equation $N_{L/k}(x) =…
Embeddings of maximal tori in classical groups, odd degree descent and Hasse principles
Eva Bayer-Fluckiger, Tingyu Lee, Raman Parimala
The aim of this paper is to revisit the question of local-global principles for embeddings of étale algebras with involution into central simple algebras with involution over globa…
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…
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…
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…