Representation Ring - Adams Operations

The Adams operations on the representation ring R(G) are maps Ψk characterised by their effect on characters χ:

The operations Ψk are ring homomorphisms of R(G) to itself, and on representations ρ of dimension d

where the Λiρ are the exterior powers of ρ and Nk is the k-th Newton polynomial.

Read more about this topic:  Representation Ring

Famous quotes containing the words adams and/or operations:

    The gothic is singular in this; one seems easily at home in the renaissance; one is not too strange in the Byzantine; as for the Roman, it is ourselves; and we could walk blindfolded through every chink and cranny of the Greek mind; all these styles seem modern when we come close to them; but the gothic gets away.
    —Henry Brooks Adams (1838–1918)

    You can’t have operations without screams. Pain and the knife—they’re inseparable.
    —Jean Scott Rogers. Robert Day. Mr. Blount (Frank Pettingell)