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p-adic interpolation of metaplectic forms of cohomological type

Hill, RM; Loeffler, D; (2012) p-adic interpolation of metaplectic forms of cohomological type. International Journal of Number Theory , 8 (7) pp. 1613-1660. 10.1142/S1793042112500960. Green open access

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Abstract

Let G be a reductive group over a number field k. It is shown how Emerton's methods may be applied to the problem of p-adically interpolating the metaplectic forms on G, i.e. the automorphic forms on metaplectic covers of G, as long as the metaplectic covers involved split at the infinite places of k.

Type: Article
Title: p-adic interpolation of metaplectic forms of cohomological type
Open access status: An open access version is available from UCL Discovery
DOI: 10.1142/S1793042112500960
Publisher version: https://doi.org/10.1142/S1793042112500960
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Metaplectic forms, p-adic interpolation, eigenvarieties
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10160052
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