Division algebras and maximal orders for given invariants

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2016-01-01 DOI:10.1112/S1461157016000310

G. Böckle, Damián Gvirtz

引用次数: 6

Abstract

Brauer classes of a global field can be represented by cyclic algebras. Effective constructions of such algebras and a maximal order therein are given for Fq(t), excluding cases of wild ramification. As part of the construction, we also obtain a new description of subfields of cyclotomic function fields.

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给定不变量的除法代数和极大阶

全局域的Brauer类可以用循环代数表示。对于Fq(t)给出了这种代数的有效构造及其最大阶，但不包括野生分枝的情况。作为构造的一部分，我们也得到了分环函数场的子场的一种新的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.