Non-abelian Class Field Theory and Higher Dimensional Noncommutative Tori

被引：0

作者：

Nikolaev, Igor V. ^{[1
]}

机构：

[1] St Johns Univ, Dept Math & Comp Sci, 8000 Utopia Pkwy, New York, NY 11439 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2025年

关键词：

Drinfeld modules; Noncommutative tori; ALGEBRAS;

D O I：

10.1007/s10468-025-10350-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

共 18 条

[1]

Artin E., 1924, Abhandlungen aus dem Mathematischen Seminar der Hamburgerischen Universitat, V3, P89

[2] An AF algebra associated with the Farey tessellation [J].

Boca, Florin P. .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2008, 60 (05) :975-1000

[3] A class of polynomials [J].

Carlitz, Leonard .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1938, 43 (1-3) :167-182

[4]

HERMAN RH, 1992, INT J MATH, V3, P827

[5]

Langlands R.P., 1978, P ICM 1978 HELS, P165

[6]

Li X., 2017, Abel Symp., V12, P191

[7]

Nikolaev I.V., 2022, De Gruyter Studies in Math., V66

[8]

Nikolaev I, 2018, RAMANUJAN J, V47, P417, DOI 10.1007/s11139-017-9969-3

[9] LANGLANDS RECIPROCITY FOR THE EVEN-DIMENSIONAL NONCOMMUTATIVE TORI [J].

Nikolaev, Igor .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (12) :4153-4162

[10] On Cluster C*-Algebras [J].

Nikolaev, Igor V. .

JOURNAL OF FUNCTION SPACES, 2016, 2016

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