Θ 10 Jeffrey Adams
نویسنده
چکیده
The symplectic group Sp(4, F ) has a particular interesting unitary representation for F a finite or local field. When F is finite this representation was denoted Θ10 [30], and somehow the name has stuck. We discuss this representation in some detail in the case of R. This material is mostly well known, at least to the experts, and this paper is intended as a reference for non–specialists. It also serves as an introduction to some of the machinery of the Arthur conjectures as discussed in [5]. It has existed since 1990 as an informal set of notes. It is a pleasure to dedicate this paper to Joe Shalika, my freshman number theory professor.
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