A gentle introduction to Drinfel'd associators

被引：0
|
作者：
Bordemann, Martin [1 ]
Rivezzi, Andrea [2 ]
Weigel, Thomas [3 ]
机构：
[1] Univ Haute Alsace, Dept Math, Lab IRIMAS, 18 rue Freres Lumiere, F-68093 Mulhouse, France
[2] Charles Univ Prague, Inst Math, Sokolovska 49-83, Prague 8, Czech Republic
[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via R Cozzi 55, I-20125 Milan, Italy
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2024年
关键词：
Drinfel'd associator; pentagon equation; hexagon equation; Knizhnik-Zamolodchikov connection; parallel transports; BRAID-GROUPS; QUANTIZATION;
D O I：
10.1142/S0129055X24300103
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and pentagon equations by means of minimal amounts of analysis or differential geometry: we rather use limits of concrete parallel transports.
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页数：58
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