Progress on Quarkonium Studies in STAR

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We review recent progress on the study of quarkonium production with the STAR detector. We discuss the results of a J/psi -> e+e- test trigger for p+p collisions during Run V at RHIC. For the Au+Au data from Run IV, we discuss the implementation of a test trigger for Upsilon -> e+e-. We obtain an upper limit on Upsilon production from the test trigger data. The prospects for future runs with upgraded detectors are outlined.
8 pages, 8 figures. To appear in the Proceedings of the 22nd Winter Workshop on Nuclear Dynamics, La Jolla California, March 2006

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