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

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

2009-02-07

arxiv.org/abs/0902.1264v1

Mathematics

Number Theory

18 pages

Scientific paper

In 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.

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