Brauer's 14th Problem and Dyson's tenfold way

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-08-06 DOI:10.1016/j.jalgebra.2025.07.026

Dmitriy Rumynin , James Taylor

引用次数: 0

Abstract

We consider Brauer's 14th Problem in the context of Real structures on finite groups and their antilinear representations. The problem is to count the number of characters of each different type using “group theory”. While Brauer's original problem deals only with three types (real, complex and quaternionic), here we consider the ten types coming from Dyson's tenfold way.

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布劳尔的第十四问题和戴森的十倍方法

我们在有限群上的实结构及其反线性表示的背景下考虑Brauer第14问题。问题是使用“群论”来计算每种不同类型的字符的数量。虽然Brauer最初的问题只涉及三种类型（实数、复数和四元数），但这里我们考虑戴森十重方法带来的十种类型。

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

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.