Subrepresentation
id:
subrepresentation-253-16043709
title:
Subrepresentation
text:
In representation theory, a subrepresentation of a representation of a group G is a representation such that W is a vector subspace of V and π | W = π | W . A nonzero finite-dimensional representation always contains a nonzero subrepresentation that is irreducible, the fact seen by induction on dimension. This fact is generally false for infinite-dimensional representations. If is a representation of G, then there is the trivial subrepresentation: If f : V → W is an equivariant map between two r
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Subrepresentation
date created:
date modified:
2023-12-24T09:43:12Z
main entity:
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image:
fields total:
13
integrity:
13