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

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

2011-07-11

arxiv.org/abs/1107.1939v1

Mathematics

Number Theory

146 pages, PhD Thesis

Scientific paper

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.

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