Higher Regulators
A 'higher' regulator refers to a construction for an algebraic K-group with index n > 1 that plays the same role as the classical regulator does for the group of units, which is a group K1. A theory of such regulators has been in development, with work of Armand Borel and others. Such higher regulators play a role, for example, in the Beilinson conjectures, and are expected to occur in evaluations of certain L-functions at integer values of the argument.
Read more about this topic: Dirichlet's Unit Theorem
Famous quotes containing the word higher:
“And so the seasons went rolling on into summer, as one rambles into higher and higher grass.”
—Henry David Thoreau (1817–1862)