{ "id": "1301.1276", "version": "v2", "published": "2013-01-07T17:37:22.000Z", "updated": "2013-08-12T18:48:23.000Z", "title": "Orthogonality of Macdonald polynomials with unitary parameters", "authors": [ "J. F. van Diejen", "E. Emsiz" ], "comment": "26 pages, updated references, correction of typos. To appear in Math. Z", "journal": "Math. Z. 276 (2014), no. 1-2, 517--542", "doi": "10.1007/s00209-013-1211-4", "categories": [ "math.RT", "hep-th", "math-ph", "math.CO", "math.MP" ], "abstract": "For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.", "revisions": [ { "version": "v2", "updated": "2013-08-12T18:48:23.000Z" } ], "analyses": { "subjects": [ "33D52", "11C08", "20C08" ], "keywords": [ "macdonald polynomials", "unitary parameters", "unit circle subject", "irreducible reduced crystallographic root systems", "discrete orthogonality relations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1209599, "adsabs": "2013arXiv1301.1276V" } } }