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Author | dc.contributor.author | Arenas Carmona, Luis | |
Admission date | dc.date.accessioned | 2018-12-20T14:14:00Z | |
Available date | dc.date.available | 2018-12-20T14:14:00Z | |
Publication date | dc.date.issued | 2013 | |
Cita de ítem | dc.identifier.citation | International Journal of Number Theory, Volumen 9, Issue 7, 2018, Pages 1725-1741 | |
Identifier | dc.identifier.issn | 17930421 | |
Identifier | dc.identifier.other | 10.1142/S179304211350053X | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/155061 | |
Abstract | dc.description.abstract | 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 group to pairs of orders in that genus. If H ⊆ D are two orders in a quaternion algebra a with D of maximal rank, the representation field F = F(D | H) is a subfield of the spinor class field for the genus of D such that, the set of spinor genera of orders in that genus representing the order H, coincides with the set of spinor genera of orders whose distance to D fixes F pointwise. Previous works have focused on two cases: maximal orders D and commutative orders H. In this work, we give a method to compute the representation field F(D|H) when D is the intersection of a finite family of maximal orders, e.g., an Eichler order, and H is arbitrary. Examples are provided. © 2013 World Scientific Publishing Company. | |
Lenguage | dc.language.iso | en | |
Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
Source | dc.source | International Journal of Number Theory | |
Keywords | dc.subject | Eichler orders | |
Keywords | dc.subject | Quaternion algebras | |
Keywords | dc.subject | Spinor class fields | |
Keywords | dc.subject | Spinor genera | |
Título | dc.title | Eichler orders, trees and representation fields | |
Document type | dc.type | Artículo de revista | |
Cataloguer | uchile.catalogador | SCOPUS | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |
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