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:
“There are no lower or higher or median moralities. There is only one morality, and it is precisely the one that was given to us during the time of Jesus Christ and that stops me, you and Barantsevich from stealing, offending others, lying etc.”
—Anton Pavlovich Chekhov (18601904)