Browsing by Subject "Eichler orders"

Now showing items 1-4 of 4

    • Computing embedding numbers and branches of orders via extensions of the Bruhat-Tits tree 
      Arenas-Carmona, Luis; Bravo, Claudio (World Scientific Publishing Co. Pte Ltd, 2019)
      Let k be a local field and let be the two-by-two matrix algebra over k. In our previous work, we developed a theory that allows the computation of the set of maximal orders in containing a given suborder. This set is given ...
    • 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, ...