Rational Subspaces of Induced Representations and Nilmanifolds
Copyright policy )Rational Subspaces of Induced Representations and Nilmanifolds
Recently, Auslander and Brezin developed a technique of distinguishing between certain unitarily equivalent irreducible subspaces of L 2 {L^2} of the Heisenberg nilmanifold. In this paper we extend the Auslander-Brezin technique to arbitrary induced representations of arbitrary locally compact groups. We then return to nilmanifolds, showing that the existence of a “nice” theory of distinguished subspaces is equivalent to the existence of square integrable representations for the group.
Irreducible Subspaces, Square Integrable Representations, Nilpotent and solvable Lie groups, Nilmanifolds, Heisenberg Nilmanifold, Representations of Lie and linear algebraic groups over real fields: analytic methods
Irreducible Subspaces, Square Integrable Representations, Nilpotent and solvable Lie groups, Nilmanifolds, Heisenberg Nilmanifold, Representations of Lie and linear algebraic groups over real fields: analytic methods
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!