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:
“They had their fortunes to make, everything to gain and nothing to lose. They were schooled in and anxious for debates; forcible in argument; reckless and brilliant. For them it was but a short and natural step from swaying juries in courtroom battles over the ownership of land to swaying constituents in contests for office. For the lawyer, oratory was the escalator that could lift a political candidate to higher ground.”
—Federal Writers Project Of The Wor, U.S. public relief program (1935-1943)