Global Symmetries, Local Symmetries and Groupoids

被引：2

作者：

Petitjean, Michel ^{[1
,2
]}

机构：

[1] Univ Paris, BFA, CNRS, UMR 8251,INSERM,ERL U1133, F-75013 Paris, France

[2] CNRS, UMR 7592, Inst Jacques Monod, E Pole Genoinformat, F-75013 Paris, France

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 10期

关键词：

global symmetry; local symmetry; groupoids; CHIRALITY; GRAPHS; SPACE;

D O I：

10.3390/sym13101905

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Local symmetries are primarily defined in the case of spacetime, but several authors have defined them outside this context, sometimes with the help of groupoids. We show that, in many cases, local symmetries can be defined as global symmetries. We also show that groups can be used, rather than groupoids, to handle local symmetries. Examples are given for graphs and networks, color symmetry and tilings. The definition of local symmetry in physics is also discussed.</p>

引用

页数：10

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