Concept
Quaternions de Hurwitz
Publications associées (11)
Almost impossible E_8 and Leech lattices
We start this short note by introducing two remarkable mathematical objects: the E8E8 root lattice Lambda8Lambda8 in 8-dimensional Euclidean space and the Leech lattice Lambda24Lambda24 in 24-dimensional space. These two lattices stand out among their lat ...
2021The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition
The minimal faithful permutation degree (G) of a finite group G is the least nonnegative integer n such that G embeds in the symmetric group Sym(n). Clearly (G x H) (G) + (H) for all finite groups G and H. In 1975, Wright ([10]) proved that equality occurs ...
Taylor & Francis Inc2016The Geometry of Eye Movement Dynamics
Simon Nessim Henein, Ilan Vardi
Eye movements consist of spherical rotations, with orientation generally constrained by Listing’s law. Our main result is a complete explicit formulation of ballistic eye movement under the Listing constraint. We present a conceptual framework for eye move ...
2015Liftings of reduction maps for quaternion algebras
We construct liftings of reduction maps from complex multiplication (CM) points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefinite quaternion algebras with a ...
Oxford University Press2013Hybrid Bounds For Automorphic Forms On Ellipsoids Over Number Fields
We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds X of arithmetic type, uniformly in the eigenvalue and the volume of the manifold. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realiz ...
Cambridge Univ Press2013Sup-norms of Eigenfunctions on Arithmetic Ellipsoids
Let B be a positive quaternion algebra, and let O subset of B be an Eichler order. There is associated, in a natural way, a variety X = X(O) the connected components of which are indexed by the ideal classes of O and are isomorphic to spheres. This variety ...
Oxford University Press2011On the Reduction of Points on Abelian Varieties and Tori
Let G be the product of an abelian variety and a torus defined over a number field K. Let R-1, ..., R-n be points in G(K). Let l be a rational prime, and let a(1), ..., a(n) be nonnegative integers. Consider the set of primes p of K satisfying the followin ...
2011Annihilating Polynomials for Quadratic Forms
Let K be a field with char(K) ≠ 2. The Witt-Grothendieck ring (K) and the Witt ring W (K) of K are both quotients of the group ring ℤ[𝓖(K)], where 𝓖(K) := K*/(K*)2 is the square class group of K. Since ℤ[𝓖(K)] is integra ...
EPFL2010