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:

    Our [adult] children have an adult’s right to make their own choices and have the responsibility of living with the consequences. If we make their problems ours, they avoid that responsibility, and we are faced with problems we can’t and shouldn’t solve.
    —Jane Adams (20th century)

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