On the fixed space induced by a group action
This article studies connections between group actions and their corresponding vector spaces. Given an action of a group $ G $ on a non-empty set $ X $, we examine the space $ L(X) $ of scalar-valued functions on $ X $ and its fixed subspace: $ L^G(X) = \{f\in L(X): f(a\cdot x) = f(x) \; {\rm{ for\...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221130?viewType=HTML |