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A classification of...
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Alfes-Neumann, C.Universität Bielefeld,Bielefeld University
(author)
A classification of harmonic weak Maass forms of half-integral weight
- Article/chapterEnglish2023
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LIBRIS-ID:oai:gup.ub.gu.se/328032
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https://gup.ub.gu.se/publication/328032URI
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https://doi.org/10.1007/s40993-023-00455-9DOI
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https://research.chalmers.se/publication/536300URI
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We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maass forms with exponential growth allowed at the cusps. This extends work by Schulze-Pillot and parallels recent work by Bringmann-Kudla, who investigated the case of integral weights. We realize each of our cases via a regularized theta lift of an integral weight harmonic weak Maass form. Harish-Chandra modules in both integral and half-integral weight that occur need not be irreducible. Therefore, our display of the role that the theta lifting takes in this picture, we hope, contributes to an initial understanding of a theta correspondence for extensions of Harish-Chandra modules.
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Raum, MartinGothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)raum
(author)
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Universität BielefeldInstitutionen för matematiska vetenskaper
(creator_code:org_t)
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In:Research in Number Theory9:32522-01602363-9555
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