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Results tagged with at.algebraic-topology
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user 56443
Homotopy theory, homological algebra, algebraic treatments of manifolds.
10
votes
0
answers
721
views
Homology of Lie groups
Let $G$ be a Lie group and $G^{\delta}$ the underlying group (with discrete topology). Obviously, we have a continuous map of groups $i:G^{\delta}\rightarrow G$ which induces a map between classifying …
- 293
9
votes
1
answer
336
views
Representation of finite groups in a compact Lie group
Let $H$ be a finite $p$-group, and let $G$ be a compact connected Lie group. Then
it is well-known that $[BH,BG]\cong Rep(H,G)$, where $BH$ and $BG$ are classifying spaces and $Rep(H,G)$ is the set o …
- 293