Rigidity of measurable structure for Z d -actions by automorphisms of a torus (2009)
Anatole Katok, Svetlana Katok, Klaus Schmidt, Dedicated Olga, Taussky Todd
Abstract. We show that for certain classes of actions of Z d, d ≥ 2, by automorphisms of the torus any measurable conjugacy has to be affine, hence measurable conjugacy implies algebraic conjugacy;...
Non-Abelian Base Change For Totally Real Fields (1997)
Haruzo Hida, Yoshitaka Maeda, In Olga, Taussky Todd
this paper, under a simple ramification condition on totally real F , we prove the existence of infinitely many F --liftable holomorphic elliptic cusp forms of a given odd prime power level...
Non{abelian base change for totally real (1997)
Haruzo Hida, Yoshitaka Maeda, In Olga, Taussky Todd
1. Introduction. Let f ∈ Sk(Γ0(N),χ) with k ≥ 2 and N ≥ 1 be a primitive Hecke eigenform normalized so that the first Fourier coefficient a(1,f) is equal to 1. Let ρ: Gal(Q/Q) → GL2(Q...