2
votes
2answers
246 views
If all real conjugacy classes are strongly real, then all real irreps are “strongly real”(symmetric), true ?
Question Is true that if all real conjugacy classes of a finite group are strongly real, then all its real irreducible representations (irreps) are "strongly real"(symmetric) ? An …
1
vote
1answer
188 views
sum_g g^k, Frobenius-Schur indicators, S_n-invariants in freeAss(x_i), center of the group algebra
For any $k$ sums $T_k = 1/|G|\sum_{g\in G} g^k$ belong to the center of the group algebra, for finite group G.
For $k=2$ they "are" (up to details and interpretation) Frobenius-Sch …

