There seem to be two definitions for a regular representation of a group, with respect to a field k. In particular, one definition is that the regular representation is just left multiplication on the group algebra kG, while the other is defined on the set of all functions [itex] f: G \to k [/itex]. I do not see why these are equivalent, and would appreciate any advice as to why this is the case.(adsbygoogle = window.adsbygoogle || []).push({});

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# Equivalence of definitions for regular representations

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