Complex sentence: It is an "odd function" under the interchange ↔: consequently, it vanishes for real representations, such as the adjoint, (1,1), i.e. both 2 and anomalies vanish for it.
Split into simpler sentences: It is an "odd function" under the interchange ↔. Consequently, it vanishes for real representations, such as the adjoint, (1,1), i.e. both 2 and anomalies vanish for it.