questions:group-acts-on-a-category
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| questions:group-acts-on-a-category [2022/10/27 00:45] – created pzhou | questions:group-acts-on-a-category [2023/06/25 15:53] (current) – external edit 127.0.0.1 | ||
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| - | ====== Group acts on a category ====== | + | ====== |
| Let $C$ be a category, $G$ be a finite group. For each $g \in G$, suppose we have a functor $[g]: C \to C$, such that there are natural equivalences $[g_1] [g_2] \xto{\cong} [g_1 g_2]$, satisfying associativity condition. Then, we can call this a //group acting on a category// | Let $C$ be a category, $G$ be a finite group. For each $g \in G$, suppose we have a functor $[g]: C \to C$, such that there are natural equivalences $[g_1] [g_2] \xto{\cong} [g_1 g_2]$, satisfying associativity condition. Then, we can call this a //group acting on a category// | ||
questions/group-acts-on-a-category.1666831539.txt.gz · Last modified: 2023/06/25 15:53 (external edit)