This chapter has two main themes. The first theme concerns the nonsupercuspidal representations of GSp(4) over a non-archimedean local field. These representations were classified by Sally and Tadić and we summarize their work. Using this classification, we find it convenient to list and name all non-supercuspidal representations in the form of the fundamental Table A.1. With this list at hand we consider the conjectural local Langlands correspondence for GSp(4) as regards non-supercuspidal representations. As it happens, the desiderata of the conjectural local Langlands correspondence determine the L-parameters attached to all non-supercuspidal representations, and we describe these L-parameters explicitly.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Representation Theory. In: Local Newforms for GSp(4). Lecture Notes in Mathematics, vol 1918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73324-9_2
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DOI: https://doi.org/10.1007/978-3-540-73324-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73323-2
Online ISBN: 978-3-540-73324-9
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