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Abstract
We define a notion of pseudospherical type for smooth representations of the nontrivial two fold central extension of SL2(Q2). We describe completely the irreducible representations that contain the pseudospherical type. We relate our results to Kohnen's plus and minus spaces of classical modular forms of half integral weight. © 2010 by Pacific Journal of Mathematics.
Keywords
Hecke algebra, Modular forms, Pseudospherical representations, Shimura correspondence
Source Title
Pacific Journal of Mathematics
Publisher
Series/Report No.
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Rights
Date
2010
DOI
10.2140/pjm.2010.247.435
Type
Article