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:
“Chaos was the law of nature; Order was the dream of man.”
—Henry Brooks Adams (1838–1918)
“There is a patent office at the seat of government of the universe, whose managers are as much interested in the dispersion of seeds as anybody at Washington can be, and their operations are infinitely more extensive and regular.”
—Henry David Thoreau (1817–1862)