紧凑李群和复杂还原群

IF 0.8 4区数学 Q2 MATHEMATICS

Homology Homotopy and Applications Pub Date : 2024-03-20 DOI:10.4310/hha.2024.v26.n1.a12

John Jones, Dmitriy Rumynin, Adam Thomas

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引用次数: 0

摘要

我们证明，紧凑李群和复杂还原群（不一定连通）的范畴是同调等价的拓扑范畴。换句话说，拓扑空间同调范畴中丰富的相应范畴是等价的。这也可以解释为无穷范畴的等价性。

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Compact Lie groups and complex reductive groups

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 topological spaces are equivalent. This can also be interpreted as an equivalence of infinity categories.

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来源期刊

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.