Free Download Representations of SU(2,1) in Fourier Term Modules by Roelof W. Bruggeman , Roberto J. Miatello
English | PDF EPUB (True) | 2023 | 217 Pages | ISBN : 303143191X | 30 MB
This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the "abelian" Fourier term modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the "non-abelian" modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included.