The versatility of the Drinfeld double of a finite group

IF 0.8 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2025-11-01 Epub Date: 2025-03-26 DOI:10.1016/j.indag.2025.03.003

Giovanna Carnovale , Nicola Ciccoli , Elena Collacciani

引用次数: 0

Abstract

The Drinfeld double of a finite group appears in many different areas of mathematics and physics. We review different instances in which the Drinfeld double of a finite group and its representations play a role, focusing on some of Tom Koornwinder’s research interests: harmonic analysis, Lie algebras, quantum groups, non-commutative geometry, and Verlinde formula for fusion rules.

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有限群的德林菲尔德双元的多功能性

有限群的德林菲尔德双元出现在数学和物理的许多不同领域。我们回顾了有限群的德林菲尔德双元及其表示所起作用的不同实例，重点介绍了Tom Koornwinder的一些研究兴趣：调和分析、李代数、量子群、非交换几何和融合规则的Verlinde公式。

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

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.