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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Teerapong Suksumran | en_US |
dc.date.accessioned | 2022-10-16T07:01:07Z | - |
dc.date.available | 2022-10-16T07:01:07Z | - |
dc.date.issued | 2022-01-01 | en_US |
dc.identifier.issn | 24736988 | en_US |
dc.identifier.other | 2-s2.0-85138254212 | en_US |
dc.identifier.other | 10.3934/math.20221130 | en_US |
dc.identifier.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85138254212&origin=inward | en_US |
dc.identifier.uri | http://cmuir.cmu.ac.th/jspui/handle/6653943832/75599 | - |
dc.description.abstract | 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: LG (X) = { f ∈ L(X): f (a · x) = f (x) for all a ∈ G, x ∈ X}. In particular, we show that LG (X) is an invariant of the action of G on X. In the case when the action is finite, we compute the dimension of LG (X) in terms of fixed points of X and prove several prominent results for LG (X), including Bessel’s inequality and Frobenius reciprocity. | en_US |
dc.subject | Mathematics | en_US |
dc.title | On the fixed space induced by a group actio | en_US |
dc.type | Journal | en_US |
article.title.sourcetitle | AIMS Mathematics | en_US |
article.volume | 7 | en_US |
article.stream.affiliations | Chiang Mai University | en_US |
Appears in Collections: | CMUL: Journal Articles |
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