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:
“...I feel anxious for the fate of our monarchy, or democracy, or whatever is to take place. I soon get lost in a labyrinth of perplexities; but, whatever occurs, may justice and righteousness be the stability of our times, and order arise out of confusion. Great difficulties may be surmounted by patience and perseverance.”
—Abigail Adams (17441818)
“You cant have operations without screams. Pain and the knifetheyre inseparable.”
—Jean Scott Rogers. Robert Day. Mr. Blount (Frank Pettingell)