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Timeline for $GSp(4)$ vs $PSp(4)$

Current License: CC BY-SA 3.0

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Aug 28, 2017 at 15:14 vote accept Desiderius Severus
Aug 10, 2017 at 1:37 comment added user113030 "If we think about classical modular forms, one typically works on SL(2)." I don't agree with this. Almost the very first thing one sees about modular forms is the Hecke operator T_p, which exists for GL(2) but not for SL(2). The basic answer to the OP (as also suggested by your post) is that GL(2) and GSp(4) both arise more naturally with respect to classical objects and also have a cleaner theory.
Aug 9, 2017 at 22:50 history answered Kimball CC BY-SA 3.0