COMPACT LIE GROUPS AND COMPLEX REDUCTIVE GROUPS

被引：0

作者：

Jones, John ^{[1
]}

Rumynin, Dmitriy ^{[1
]}

Thomas, Adam ^{[1
]}

机构：

[1] Univ Warwick, Dept Math, Coventry CV4 7AL, England

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2024年 / 26卷 / 01期

关键词：

Compact Lie group; reductive group; Tannaka formalism; infinity category;

D O I：

10.4310/HHA.2024.v26.n1.a12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the categories of compact Lie groups and complex reductive groups (not necessarily connected) are homotopy equivalent topological categories. In other words, the corresponding categories enriched in the homotopy category of top ological spaces are equivalent. This can also be interpreted as an equivalence of infinity categories.

引用

页码：177 / 188

页数：12

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