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A calculation of a half-integral weight multiplier system on SU(2,1)

Jalal, L.; (2010) A calculation of a half-integral weight multiplier system on SU(2,1). Doctoral thesis, UCL (University College London). Green open access

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Abstract

In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1)(k), where k is a local field. For each non-archimedean local field k, we describe how the cocycle splits on a compact open subgroup. The multiplier system is then expressed in terms of the product of the local splittings at each prime.

Type: Thesis (Doctoral)
Title: A calculation of a half-integral weight multiplier system on SU(2,1)
Open access status: An open access version is available from UCL Discovery
Language: English
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/766292
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