{ "id": "1006.3367", "version": "v1", "published": "2010-06-17T04:36:53.000Z", "updated": "2010-06-17T04:36:53.000Z", "title": "Theta correspondences for GSp(4)", "authors": [ "Wee Teck Gan", "Shuichiro Takeda" ], "categories": [ "math.RT", "math.NT" ], "abstract": "We explicitly determine the theta correspondences for $\\GSp_4$ and orthogonal similitude groups associated to various quadratic spaces of rank $4$ and $6$. The results are needed in our proof of the local Langlands correspondence for $\\GSp_4$.", "revisions": [ { "version": "v1", "updated": "2010-06-17T04:36:53.000Z" } ], "analyses": { "keywords": [ "theta correspondences", "local langlands correspondence", "quadratic spaces", "orthogonal similitude groups", "explicitly determine" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1006.3367T" } } }