Browsing by Subject "Quaternion algebras"

Now showing items 1-5 of 5

    • Eichler orders, trees and representation fields 
      Arenas Carmona, Luis (2013)
      The spinor class field for a genus of orders of maximal rank in a quaternion algebra a over a number field K is an abelian extension Σ/K provided with a distance function associating elements of the corresponding Galois ...
    • On optimal embeddings and trees 
      Arenas, Manuel; Arenas Carmona, Luis; Contreras, Jaime (Academic Press Inc., 2018)
      © 2018 Elsevier Inc. We apply the theory of Bruhat–Tits trees to the study of optimal embeddings from orders of rank two and three to quaternion algebras. Specifically, we determine how many conjugacy classes of global ...
    • On some branches of the Bruhat-Tits tree 
      Arenas Carmona, Luis; Saavedra, Ignacio (WORLD SCIENTIFIC PUBL, 2016)
      We explicitly compute the largest subtree, in the local Bruhat-Tits tree for PSL2(k), whose vertices correspond to maximal orders containing a fixed order generated by a pair of orthogonal pure quaternions. In other words, ...
    • Spinor norm for skew-hermitian forms over quaternion algebras 
      Arenas Carmona, Luis; Quiroz Herrera, Patricio (Elsevier, 2015)
      We complete all local spinor norm computations for quater-nionic skew-hermitian forms over the field Qof rational num-bers. This can be used to compute the number of classes in a genus of skew-hermitian lattices of rank ...
    • The finite subgroups of maximal arithmetic Kleinian groups 
      Chinburg, T.; Friedman, E. (Association des Annales de l'Institut Fourier, 2000)