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

Hung Yean Loke; Gordan Savin

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arXiv · 0902.1264

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

Hung Yean Loke·Gordan Savin

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Abstract

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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Hung Yean Loke, Gordan Savin. 2009-02-07. A representation theoretic approach to Kohnen's plus space of modular forms of half integral weight. https://arxiv.org/abs/0902.1264

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