Difference between revisions of "Character ring"
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Latest revision as of 23:14, 7 May 2008
Definition with symbols
Given a group , a field , and a subring of , the character ring of with respect to and , is the ring of -linear combinations of characters of representations of over .
If is not specified, we assume it to be the smallest subring (viz the subring generated by 1, which is either or a prime field of the same characteristic as the whole field).