Local Representations: The Real Case

Abstract

Here we rearrange and extend material from [Be1]–[Be4] and [BeBö].By the general theory from the last section. By the general theory from the last section, we have as a fundamental object the Schrödinger-Weil representation $\pi^m_{sw}$ which is a genuine representation of the metaplectic cover $\tilde{G}$ ^J (ℝ) and may be identified with a projective representation of G ^J (ℝ).