A representation theoretic approach to Kohnen's plus space of modular forms of half integral weight

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219078In this paper we develop representation theory of the two fold central extension of SL(2) over the field of 2-adic numbers. As a consequence, we obtain a local Shimura correspondence between the two fold central extension of SL(2) and the linear group PGL(2), which we show to be compatible with the global Shimura correspondence at p=2.18 pagesNumber TheoryRepresentation Theory11F70A representation theoretic approach to Kohnen's plus space of modular forms of half integral weighttext