REPRESENTATION FIELDS FOR COMMUTATIVE ORDERS

被引：13
|
作者：
Arenas-Carmona, Luis [1 ]
机构：
[1] Univ Chile, Fac Ciencia, Dept Matemat, Santiago, Chile
来源：
ANNALES DE L INSTITUT FOURIER | 2012年 / 62卷 / 02期
关键词：
maximal orders; central simple algebras; spinor genera; spinor class fields;
D O I：
10.5802/aif.2695
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A representation field for a non-maximal order h in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders containing a copy of h. Not every non-maximal order has a representation field. In this work we prove that every commutative order has a representation field and give a formula for it. The main result is proved for central simple algebras over arbitrary global fields.
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页码：807 / 819
页数：13
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