3 citations · 9 across the 8 of their papers we have counts for
10 papers
Oriented embedding functors of tori as homogeneous spaces
Philippe Gille, Ting-Yu Lee
We provide a characterization of homogeneous spaces under a reductive group scheme such that the geometric stabilizers are maximal tori. The quasi-split case over a semilocal base…
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…
The Tate-Shafarevich groups of multinorm-one tori
Ting-Yu Lee
Let k be a global field and L be a finite dimensional étale algebra over k. In this paper, we assume that L is a product of cyclic extensions of k. Let T_{L/k} be the multinorm-one…
Hasse principles for multinorm equations
Eva Bayer-Fluckiger, Ting-Yu Lee, Raman Parimala
Let be a global field and let ,..., be finite separable field extensions of . In this paper, we are interested in the Hasse principle for the multinorm equation $\…
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…
On maximal tori of algebraic groups of type G_2
Constantin Beli, Philippe Gille, Ting-Yu Lee
Given an octonion algebra over a field k, its automorphism group G is an algebraic semisimple k-group of type G_2. We study the maximal tori of G in terms of the algebra C.
Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction
Eva Bayer-Fluckiger, Ting-Yu Lee, Raman Parimala
Embeddings of maximal tori into classical groups over global fields of characteristic not 2 are the subject matter of several recent papers, with special attention to the Hasse pri…
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…