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arXiv · 2109.13702

Compact Lie Groups and Complex Reductive Groups

John Jones·Dmitriy Rumynin·Adam Thomas
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Abstract

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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John Jones, Dmitriy Rumynin, Adam Thomas. 2021-09-28. Compact Lie Groups and Complex Reductive Groups. https://arxiv.org/abs/2109.13702

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