非阿贝尔类场论与高维非交换环面

IF 0.6 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2025-07-18 DOI:10.1007/s10468-025-10350-9

Igor V. Nikolaev

引用次数: 0

摘要

研究了德林菲尔德模与偶维非交换环面之间的关系。在此基础上建立了非阿贝尔类场论。构造了伽罗瓦扩展的显式生成器。

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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Non-abelian Class Field Theory and Higher Dimensional Noncommutative Tori

We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed.

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.