{ "id": "1408.1910", "version": "v1", "published": "2014-08-08T16:43:21.000Z", "updated": "2014-08-08T16:43:21.000Z", "title": "Jordan decomposition and real-valued characters of finite reductive groups with connected center", "authors": [ "Bhama Srinivasan", "C. Ryan Vinroot" ], "categories": [ "math.RT" ], "abstract": "Let $\\bf{G}$ be a connected reductive group with connected center defined over $\\mathbb{F}_q$, with Frobenius morphism $F$. We parameterize all of the real-valued irreducible complex characters of ${\\bf G}^F$ using the Jordan decomposition of characters.", "revisions": [ { "version": "v1", "updated": "2014-08-08T16:43:21.000Z" } ], "analyses": { "subjects": [ "20C33" ], "keywords": [ "finite reductive groups", "jordan decomposition", "connected center", "real-valued characters", "real-valued irreducible complex characters" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1408.1910S" } } }