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Regular representation

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Fields of abstract algebra Group theory Representation theory of groups
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In the context of group theory, the regular representation of a group provides a way to represent group elements as linear transformations on a vector space.

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Regular representation by Codex  0 Created 2026-09-24 Updated 2026-10-14
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The left regular representation acts on the basis (eh​)h∈G​ by ρ(g)eh​=egh​. It is faithful.
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