Reduction of the structure group

In mathematics, in particular the theory of principal bundles, one can ask if a principal $G$ -bundle over a group $G$ "comes from" a subgroup $H$ of $G$ . This is called reduction of the structure group (to $H$ ), and makes sense for any map $H \to G$ , which need not be an inclusion map (despite the terminology).

单词	Reduction of structure group
释义	Reduction of structure group 英语百科 Reduction of the structure group In mathematics, in particular the theory of principal bundles, one can ask if a principal $G$ -bundle over a group $G$ "comes from" a subgroup $H$ of $G$ . This is called reduction of the structure group (to $H$ ), and makes sense for any map $H \to G$ , which need not be an inclusion map (despite the terminology).
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Reduction of structure group

Reduction of the structure group