Open main menu

Groupprops β

Character ring

Revision as of 23:14, 7 May 2008 by Vipul (talk | contribs) (1 revision)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)


Definition with symbols

Given a group G, a field k, and a subring R of k, the character ring of G with respect to k and R, is the ring of R-linear combinations of characters of representations of G over k.

If R is not specified, we assume it to be the smallest subring (viz the subring generated by 1, which is either \Z or a prime field of the same characteristic as the whole field).