Dessins D'Enfants, Brauer Graph Algebras and Galois Invariants

被引：0

作者：

Malic, Goran ^{[1
]}

Schroll, Sibylle ^{[2
]}

机构：

[1] Smith Coll, Dept Comp Sci, Northampton, MA 01063 USA

[2] Univ Cologne, Dept Math, Weyertal 86-90, D-50931 Cologne, Germany

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2024年 / 27卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Dessins d'enfants; Galois invariant; Absolute Galois group; Finite dimensional algebra; Brauer graph algebra; Derived equivalence; AUSLANDER-REITEN COMPONENTS; GENTLE ALGEBRAS; EXTENSIONS;

D O I：

10.1007/s10468-023-10232-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we associate a finite dimensional algebra, called a Brauer graph algebra, to every clean dessin d'enfant by constructing a quiver based on the monodromy of the dessin. We show that Galois conjugate dessins d'enfants give rise to derived equivalent Brauer graph algebras and that the stable Auslander-Reiten quiver and the dimension of the Brauer graph algebra are invariant under the induced action of the absolute Galois group.

引用

页码：655 / 665

页数：11

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