Browsing by Author "XX676155"

Now showing items 1-8 of 8

    • Computing quaternion quotient graphs via representations of orders 
      Arenas Carmona, Luis (Elsevier, 2014)
      We give a method to describe the quotient of the local Bruhat–Tits tree TP for PGL2(K), where K is a global function field, by certain subgroups of PGL2(K) of arithmetical significance. In particular, we can compute the ...
    • Ledrappier's system is almost mixing of all orders 
      Arenas Carmona, Luis; Berend, D.; Bergelson, V. (CAMBRIDGE UNIV PRESS, 2008-04)
      We consider Ledrappier's dynamical system, which was the first example of a Z(2)-action which is 2-mixing but not 3-mixing. Our main result is that, excluding certain small 'constructible' sets, the system is mixing of ...
    • 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, ...
    • Relative spinor class fields: A counterexample 
      Arenas Carmona, Luis (BIRKHAUSER VERLAG AG, 2008-12)
      It is known that classes of indefinite quadratic forms in a genus are classified by the Galois group of a spinor class field [4]. Hsia has proved the existence of a representation field F with the property that a lattice ...
    • Representation fields for quaternionic skew-hermitian forms 
      Arenas Carmona, Luis (Birkhäuser/Springer Basel AG, 2010)
      Classes of indefinite quadratic forms in a genus are in correspondence with the Galois group of an abelian extension called the spinor class field (Estes and Hsia, Japanese J. Math. 16, 341–350 (1990)). Hsia has proved ...
    • Roots of unity in definite quaternion orders 
      Arenas Carmona, Luis (Polish Acad. Sciences Inst. Mathematics-Impan, 2015)
      A commutative order in a quaternion algebra is called selective if it is embeds into some, but not all, the maximal orders in the algebra. It is known that a given quadratic order over a number field can be selective ...
    • Spinor class fields for generalized Eichler orders 
      Arenas Carmona, Luis (Institut de Mathématiques de Bordeaux, 2016)
      Calcularemos el cuerpo de clases espinorial para el género de cualquier orden que puede ser escrito como la intersección de dos órdenes maximales, en un álgebra central simple de dimensión arbitraria. En el caso de ...
    • 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 ...